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121452506151336 = 23336719727425419
BaseRepresentation
bin11011100111010111011101…
…011111000111100110101000
3120221000202010222100200101000
4123213113131133013212220
5111404334213033320321
61110150302220355000
734403440215565503
oct3347273537074650
9527022128320330
10121452506151336
113577579a50a0a8
12117563866a5a60
13529cbcb077839
1421dc492b7c13a
15e093d219d826
hex6e75dd7c79a8

121452506151336 has 128 divisors (see below), whose sum is σ = 342421579008000. Its totient is φ = 39877812063936.

The previous prime is 121452506151331. The next prime is 121452506151343. The reversal of 121452506151336 is 633151605254121.

It is a happy number.

121452506151336 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 5 + 2 + 506 + 1 + 5 + 133 + 6 = 666.

It is a super-2 number, since 2×1214525061513362 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121452506151291 and 121452506151300.

It is not an unprimeable number, because it can be changed into a prime (121452506151331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 285276435 + ... + 285701853.

It is an arithmetic number, because the mean of its divisors is an integer number (2675168586000).

Almost surely, 2121452506151336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121452506151336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171210789504000).

121452506151336 is an abundant number, since it is smaller than the sum of its proper divisors (220969072856664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121452506151336 is a wasteful number, since it uses less digits than its factorization.

121452506151336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445228 (or 445218 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 121452506151336 in words is "one hundred twenty-one trillion, four hundred fifty-two billion, five hundred six million, one hundred fifty-one thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 67 72 108 134 201 216 268 402 536 603 804 1206 1608 1809 2412 3618 4824 7236 14472 19727 39454 59181 78908 118362 157816 177543 236724 355086 425419 473448 532629 710172 850838 1065258 1276257 1321709 1420344 1701676 2130516 2552514 2643418 3403352 3828771 3965127 4261032 5105028 5286836 7657542 7930254 10210056 10573672 11486313 11895381 15315084 15860508 22972626 23790762 28503073 30630168 31721016 35686143 45945252 47581524 57006146 71372286 85509219 91890504 95163048 114012292 142744572 171018438 228024584 256527657 285489144 342036876 513055314 684073752 769582971 1026110628 1539165942 2052221256 3078331884 6156663768 8392240613 16784481226 25176721839 33568962452 50353443678 67137924904 75530165517 100706887356 151060331034 201413774712 226590496551 302120662068 453180993102 562280121071 604241324136 906361986204 1124560242142 1686840363213 1812723972408 2249120484284 3373680726426 4498240968568 5060521089639 6747361452852 10121042179278 13494722905704 15181563268917 20242084358556 30363126537834 40484168717112 60726253075668 121452506151336