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1312103292120 = 2332541199446713
BaseRepresentation
bin10011000101111111011…
…100110101110011011000
311122102202201211101201200
4103011333130311303120
5132444141420321440
62442434423114200
7163540066651335
oct23057734656330
94572681741650
101312103292120
11466507113755
121923648a2960
139696678605a
1447712bb398c
15241e679ac30
hex1317f735cd8

1312103292120 has 192 divisors, whose sum is σ = 4390305192000. Its totient is φ = 339644067840.

The previous prime is 1312103292109. The next prime is 1312103292131. The reversal of 1312103292120 is 212923012131.

1312103292120 is a `hidden beast` number, since 1 + 3 + 1 + 210 + 329 + 2 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (1312103292109) and next prime (1312103292131).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2713884 + ... + 3160596.

It is an arithmetic number, because the mean of its divisors is an integer number (22866172875).

Almost surely, 21312103292120 is an apocalyptic number.

1312103292120 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 1312103292120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2195152596000).

1312103292120 is an abundant number, since it is smaller than the sum of its proper divisors (3078201899880).

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

1312103292120 is a wasteful number, since it uses less digits than its factorization.

1312103292120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446970 (or 446963 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 1312103292120 in words is "one trillion, three hundred twelve billion, one hundred three million, two hundred ninety-two thousand, one hundred twenty".