10122029568000 has 3120 divisors, whose sum is σ = 46638179091504. Its totient is φ = 2170080460800.

The previous prime is 10122029567963. The next prime is 10122029568019. The reversal of 10122029568000 is 86592022101.

It can be written as a sum of positive squares in 8 ways, for example, as 332439883776 + 9789589684224 = 576576^2 + 3128832^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 34546175854 + ... + 34546176146.

Almost surely, 2^{10122029568000} is an apocalyptic number.

10122029568000 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 10122029568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23319089545752).

10122029568000 is an abundant number, since it is smaller than the sum of its proper divisors (36516149523504).

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

10122029568000 is an equidigital number, since it uses as much as digits as its factorization.

10122029568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 10122029568000 in words is "ten trillion, one hundred twenty-two billion, twenty-nine million, five hundred sixty-eight thousand".