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121509390649780 = 225753131125007089
BaseRepresentation
bin11011101000001100011100…
…000100010000100110110100
3120221020011222100120121102201
4123220030130010100212310
5111411302213001243110
61110232350552514244
734410522655053340
oct3350143404204664
9527204870517381
10121509390649780
1135797930307791
12117654010ab984
1352a539520cc83
14220112b960620
15e0ab11144b3a
hex6e831c1109b4

121509390649780 has 96 divisors (see below), whose sum is σ = 299392980606720. Its totient is φ = 40562299914240.

The previous prime is 121509390649771. The next prime is 121509390649799. The reversal of 121509390649780 is 87946093905121.

It is a super-2 number, since 2×1215093906497802 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61531525 + ... + 63475564.

It is an arithmetic number, because the mean of its divisors is an integer number (3118676881320).

It is a 4-persistent number, because k⋅121509390649780 is pandigital for 1 ≤ k ≤ 4, but not for k = 5.

Almost surely, 2121509390649780 is an apocalyptic number.

121509390649780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121509390649780 is an abundant number, since it is smaller than the sum of its proper divisors (177883589956940).

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

121509390649780 is a wasteful number, since it uses less digits than its factorization.

121509390649780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125007289 (or 125007287 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 64.

The spelling of 121509390649780 in words is "one hundred twenty-one trillion, five hundred nine billion, three hundred ninety million, six hundred forty-nine thousand, seven hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 53 70 106 131 140 212 262 265 371 524 530 655 742 917 1060 1310 1484 1834 1855 2620 3668 3710 4585 6943 7420 9170 13886 18340 27772 34715 48601 69430 97202 138860 194404 243005 486010 972020 125007089 250014178 500028356 625035445 875049623 1250070890 1750099246 2500141780 3500198492 4375248115 6625375717 8750496230 13250751434 16375928659 17500992460 26501502868 32751857318 33126878585 46377630019 65503714636 66253757170 81879643295 92755260038 114631500613 132507514340 163759286590 185510520076 229263001226 231888150095 327518573180 458526002452 463776300190 573157503065 867924218927 927552600380 1146315006130 1735848437854 2292630012260 3471696875708 4339621094635 6075469532489 8679242189270 12150939064978 17358484378540 24301878129956 30377347662445 60754695324890 121509390649780