121945651200 has 576 divisors, whose sum is σ = 474368076000. Its totient is φ = 30600069120.

The previous prime is 121945651171. The next prime is 121945651213. The reversal of 121945651200 is 2156549121.

121945651200 is a `hidden beast` number, since 1 + 2 + 1 + 94 + 56 + 512 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×121945651200² (a number of 23 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 23498206 + ... + 23503394.

Almost surely, 2^121945651200 is an apocalyptic number.

121945651200 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 121945651200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237184038000).

121945651200 is an abundant number, since it is smaller than the sum of its proper divisors (352422424800).

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

121945651200 is a wasteful number, since it uses less digits than its factorization.

121945651200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5247 (or 5216 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 121945651200 in words is "one hundred twenty-one billion, nine hundred forty-five million, six hundred fifty-one thousand, two hundred".