10120762315120 has 20 divisors (see below), whose sum is σ = 23530772382840. Its totient is φ = 4048304926016.

The previous prime is 10120762315091. The next prime is 10120762315127. The reversal of 10120762315120 is 2151326702101.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×10120762315120² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120762315127) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 63254764390 + ... + 63254764549.

It is an arithmetic number, because the mean of its divisors is an integer number (1176538619142).

Almost surely, 2^{10120762315120} is an apocalyptic number.

10120762315120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120762315120 is an abundant number, since it is smaller than the sum of its proper divisors (13410010067720).

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

10120762315120 is a wasteful number, since it uses less digits than its factorization.

10120762315120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126509528952 (or 126509528946 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The spelling of 10120762315120 in words is "ten trillion, one hundred twenty billion, seven hundred sixty-two million, three hundred fifteen thousand, one hundred twenty".