10122555040000 has 360 divisors, whose sum is σ = 27290816362040. Its totient is φ = 3723853824000.

The previous prime is 10122555039997. The next prime is 10122555040027. The reversal of 10122555040000 is 4055522101.

It can be written as a sum of positive squares in 20 ways, for example, as 7004872675584 + 3117682364416 = 2646672^2 + 1765696^2 .

It is a super-2 number, since 2×10122555040000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 576151216 + ... + 576168784.

Almost surely, 2^{10122555040000} is an apocalyptic number.

10122555040000 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 10122555040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13645408181020).

10122555040000 is an abundant number, since it is smaller than the sum of its proper divisors (17168261322040).

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

10122555040000 is an equidigital number, since it uses as much as digits as its factorization.

10122555040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17895 (or 17866 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The spelling of 10122555040000 in words is "ten trillion, one hundred twenty-two billion, five hundred fifty-five million, forty thousand".