1200106260864 has 128 divisors (see below), whose sum is σ = 4047977548800. Its totient is φ = 342887496192.

The previous prime is 1200106260803. The next prime is 1200106260887. The reversal of 1200106260864 is 4680626010021.

1200106260864 is a `hidden beast` number, since 1 + 20 + 0 + 1 + 0 + 626 + 0 + 8 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 24779592 + ... + 24827975.

It is an arithmetic number, because the mean of its divisors is an integer number (31624824600).

Almost surely, 2^{1200106260864} is an apocalyptic number.

1200106260864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1200106260864 is an abundant number, since it is smaller than the sum of its proper divisors (2847871287936).

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

1200106260864 is an equidigital number, since it uses as much as digits as its factorization.

1200106260864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49607597 (or 49607579 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 1200106260864 in words is "one trillion, two hundred billion, one hundred six million, two hundred sixty thousand, eight hundred sixty-four".