412012880000 has 80 divisors (see below), whose sum is σ = 1025680513110. Its totient is φ = 164805120000.

The previous prime is 412012879979. The next prime is 412012880089. The reversal of 412012880000 is 88210214.

It can be written as a sum of positive squares in 5 ways, for example, as 228856384 + 411784023616 = 15128^2 + 641704^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×412012880000² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 2495081 + ... + 2655080.

Almost surely, 2^412012880000 is an apocalyptic number.

412012880000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412012880000 is an abundant number, since it is smaller than the sum of its proper divisors (613667633110).

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

412012880000 is an frugal number, since it uses more digits than its factorization.

412012880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5150195 (or 5150168 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The spelling of 412012880000 in words is "four hundred twelve billion, twelve million, eight hundred eighty thousand".