12261199944960 has 288 divisors, whose sum is σ = 43750640693760. Its totient is φ = 3251587276800.

The previous prime is 12261199944953. The next prime is 12261199944991. The reversal of 12261199944960 is 6944999116221.

12261199944960 is a `hidden beast` number, since 1 + 2 + 2 + 611 + 9 + 9 + 9 + 4 + 4 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

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, 5275305 + ... + 7235415.

Almost surely, 2^{12261199944960} is an apocalyptic number.

12261199944960 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 12261199944960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21875320346880).

12261199944960 is an abundant number, since it is smaller than the sum of its proper divisors (31489440748800).

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

12261199944960 is a wasteful number, since it uses less digits than its factorization.

12261199944960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1960322 (or 1960302 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 63.

The spelling of 12261199944960 in words is "twelve trillion, two hundred sixty-one billion, one hundred ninety-nine million, nine hundred forty-four thousand, nine hundred sixty".