10122856029000 has 1536 divisors, whose sum is σ = 42297038784000. Its totient is φ = 2149604352000.

The previous prime is 10122856028981. The next prime is 10122856029061. The reversal of 10122856029000 is 92065822101.

10122856029000 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 2 + 8 + 560 + 2 + 90 + 0 + 0 = 666.

10122856029000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2202054702 + ... + 2202059298.

It is an arithmetic number, because the mean of its divisors is an integer number (27537134625).

Almost surely, 2^{10122856029000} is an apocalyptic number.

10122856029000 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 10122856029000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21148519392000).

10122856029000 is an abundant number, since it is smaller than the sum of its proper divisors (32174182755000).

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

10122856029000 is a wasteful number, since it uses less digits than its factorization.

10122856029000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4736 (or 4719 counting only the distinct ones).

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

The spelling of 10122856029000 in words is "ten trillion, one hundred twenty-two billion, eight hundred fifty-six million, twenty-nine thousand".