Search a number
-
+
122312143400112 = 24327190911315943
BaseRepresentation
bin11011110011111000000011…
…110110111110110010110000
3121001001221000120111112222100
4123303320003312332302300
5112012430232202300422
61112045231210140400
734522521635622501
oct3363700366766260
9531057016445870
10122312143400112
1135a7731a307556
1211874ab5421700
135332ca75822a3
14222bd2172aba8
15e21945e3b7ac
hex6f3e03dbecb0

122312143400112 has 120 divisors (see below), whose sum is σ = 347163755597568. Its totient is φ = 40192026940800.

The previous prime is 122312143400099. The next prime is 122312143400123. The reversal of 122312143400112 is 211004341213221.

122312143400112 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 1 + 2 + 143 + 400 + 112 = 666.

It is a super-2 number, since 2×1223121434001122 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92288413 + ... + 93604355.

Almost surely, 2122312143400112 is an apocalyptic number.

122312143400112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122312143400112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173581877798784).

122312143400112 is an abundant number, since it is smaller than the sum of its proper divisors (224851612197456).

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

122312143400112 is a wasteful number, since it uses less digits than its factorization.

122312143400112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325119 (or 1325110 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 122312143400112 its reverse (211004341213221), we get a palindrome (333316484613333).

The spelling of 122312143400112 in words is "one hundred twenty-two trillion, three hundred twelve billion, one hundred forty-three million, four hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 142 144 213 284 426 568 639 852 1136 1278 1704 2556 3408 5112 9091 10224 18182 27273 36364 54546 72728 81819 109092 145456 163638 218184 327276 436368 645461 654552 1290922 1309104 1315943 1936383 2581844 2631886 3872766 3947829 5163688 5263772 5809149 7745532 7895658 10327376 10527544 11618298 11843487 15491064 15791316 21055088 23236596 23686974 30982128 31582632 46473192 47373948 63165264 92946384 93431953 94747896 186863906 189495792 280295859 373727812 560591718 747455624 840887577 1121183436 1494911248 1681775154 2242366872 3363550308 4484733744 6727100616 11963237813 13454201232 23926475626 35889713439 47852951252 71779426878 95705902504 107669140317 143558853756 191411805008 215338280634 287117707512 430676561268 574235415024 849389884723 861353122536 1698779769446 1722706245072 2548169654169 3397559538892 5096339308338 6795119077784 7644508962507 10192678616676 13590238155568 15289017925014 20385357233352 30578035850028 40770714466704 61156071700056 122312143400112