261123091200 has 216 divisors, whose sum is σ = 957512413200. Its totient is φ = 69632778240.

The previous prime is 261123091169. The next prime is 261123091219. The reversal of 261123091200 is 2190321162.

261123091200 is a `hidden beast` number, since 2 + 611 + 2 + 30 + 9 + 12 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 582765 + ... + 928364.

Almost surely, 2^261123091200 is an apocalyptic number.

261123091200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261123091200 is an abundant number, since it is smaller than the sum of its proper divisors (696389322000).

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

261123091200 is a wasteful number, since it uses less digits than its factorization.

261123091200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511164 (or 1511139 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 261123091200 in words is "two hundred sixty-one billion, one hundred twenty-three million, ninety-one thousand, two hundred".