412252151102000 has 160 divisors (see below), whose sum is σ = 1087477014873600. Its totient is φ = 149905627872000.

The previous prime is 412252151101997. The next prime is 412252151102017. The reversal of 412252151102000 is 201151252214.

It is a happy number.

It is a super-3 number, since 3×412252151102000³ (a number of 45 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 836611691 + ... + 837104309.

It is an arithmetic number, because the mean of its divisors is an integer number (6796731342960).

Almost surely, 2^{412252151102000} is an apocalyptic number.

412252151102000 is a gapful number since it is divisible by the number (40) 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 412252151102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543738507436800).

412252151102000 is an abundant number, since it is smaller than the sum of its proper divisors (675224863771600).

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

412252151102000 is a wasteful number, since it uses less digits than its factorization.

412252151102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530692 (or 530676 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 26.

The spelling of 412252151102000 in words is "four hundred twelve trillion, two hundred fifty-two billion, one hundred fifty-one million, one hundred two thousand".