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12102131040 = 2535195112923
BaseRepresentation
bin10110100010101011…
…11101110101100000
31011020102021221210120
423101111331311200
5144241121143130
65320514400240
7605621262606
oct132125756540
934212257716
1012102131040
11515037919a
122418b90080
1311ab3732ac
1482b405876
154ac6e6910
hex2d157dd60

12102131040 has 96 divisors (see below), whose sum is σ = 38144203776. Its totient is φ = 3225331200.

The previous prime is 12102131011. The next prime is 12102131047. The reversal of 12102131040 is 4013120121.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12102131047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 930019 + ... + 942941.

It is an arithmetic number, because the mean of its divisors is an integer number (397335456).

Almost surely, 212102131040 is an apocalyptic number.

12102131040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12102131040 is an abundant number, since it is smaller than the sum of its proper divisors (26042072736).

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

12102131040 is a wasteful number, since it uses less digits than its factorization.

12102131040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14892 (or 14884 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 12102131040 its reverse (4013120121), we get a palindrome (16115251161).

The spelling of 12102131040 in words is "twelve billion, one hundred two million, one hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1951 3902 5853 7804 9755 11706 12923 15608 19510 23412 25846 29265 31216 38769 39020 46824 51692 58530 62432 64615 77538 78040 93648 103384 117060 129230 155076 156080 187296 193845 206768 234120 258460 310152 312160 387690 413536 468240 516920 620304 775380 936480 1033840 1240608 1550760 2067680 3101520 6203040 25212773 50425546 75638319 100851092 126063865 151276638 201702184 252127730 302553276 378191595 403404368 504255460 605106552 756383190 806808736 1008510920 1210213104 1512766380 2017021840 2420426208 3025532760 4034043680 6051065520 12102131040