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123172123920 = 24353116555393
BaseRepresentation
bin111001010110110100…
…0010111010100010000
3102202221002002012110120
41302231220113110100
54004224030431140
6132330130030240
711620214531046
oct1625550272420
9382832065416
10123172123920
11482674a883a
121ba56118380
13b7cc445881
145d66756396
15330d6e91d0
hex1cada17510

123172123920 has 80 divisors (see below), whose sum is σ = 394150820352. Its totient is φ = 31786352640.

The previous prime is 123172123873. The next prime is 123172123927. The reversal of 123172123920 is 29321271321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1231721239202 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (123172123927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8270257 + ... + 8285136.

Almost surely, 2123172123920 is an apocalyptic number.

123172123920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123172123920 is an abundant number, since it is smaller than the sum of its proper divisors (270978696432).

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

123172123920 is a wasteful number, since it uses less digits than its factorization.

123172123920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16555440 (or 16555434 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The spelling of 123172123920 in words is "one hundred twenty-three billion, one hundred seventy-two million, one hundred twenty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2480 3720 7440 16555393 33110786 49666179 66221572 82776965 99332358 132443144 165553930 198664716 248330895 264886288 331107860 397329432 496661790 513217183 662215720 794658864 993323580 1026434366 1324431440 1539651549 1986647160 2052868732 2566085915 3079303098 3973294320 4105737464 5132171830 6158606196 7698257745 8211474928 10264343660 12317212392 15396515490 20528687320 24634424784 30793030980 41057374640 61586061960 123172123920