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12331027720 = 23511223110771
BaseRepresentation
bin10110111101111110…
…01000110100001000
31011211101000010000101
423132333020310020
5200223220341340
65355332415144
7614401002064
oct133677106410
934741003011
1012331027720
1152585a8700
1224817774b4
13121690730b
1484d98aaa4
154c285cc9a
hex2defc8d08

12331027720 has 96 divisors (see below), whose sum is σ = 31822580160. Its totient is φ = 4289014400.

The previous prime is 12331027699. The next prime is 12331027727. The reversal of 12331027720 is 2772013321.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12331027727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55935 + ... + 166705.

It is an arithmetic number, because the mean of its divisors is an integer number (331485210).

Almost surely, 212331027720 is an apocalyptic number.

12331027720 is a gapful number since it is divisible by the number (10) 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 12331027720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15911290080).

12331027720 is an abundant number, since it is smaller than the sum of its proper divisors (19491552440).

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

12331027720 is a wasteful number, since it uses less digits than its factorization.

12331027720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110827 (or 110812 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 28.

The spelling of 12331027720 in words is "twelve billion, three hundred thirty-one million, twenty-seven thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 121 184 220 230 242 253 440 460 484 506 605 920 968 1012 1210 1265 2024 2420 2530 2783 4840 5060 5566 10120 11132 13915 22264 27830 55660 110771 111320 221542 443084 553855 886168 1107710 1218481 2215420 2436962 2547733 4430840 4873924 5095466 6092405 9747848 10190932 12184810 12738665 13403291 20381864 24369620 25477330 26806582 28025063 48739240 50954660 53613164 56050126 67016455 101909320 107226328 112100252 134032910 140125315 224200504 268065820 280250630 308275693 536131640 560501260 616551386 1121002520 1233102772 1541378465 2466205544 3082756930 6165513860 12331027720