121772851200 has 2160 divisors, whose sum is σ = 605240567680. Its totient is φ = 23357030400.

The previous prime is 121772851199. The next prime is 121772851223. The reversal of 121772851200 is 2158277121.

121772851200 is a `hidden beast` number, since 1 + 2 + 177 + 285 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9367142394 + ... + 9367142406.

Almost surely, 2^121772851200 is an apocalyptic number.

121772851200 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 121772851200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302620283840).

121772851200 is an abundant number, since it is smaller than the sum of its proper divisors (483467716480).

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

121772851200 is a wasteful number, since it uses less digits than its factorization.

121772851200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

The spelling of 121772851200 in words is "one hundred twenty-one billion, seven hundred seventy-two million, eight hundred fifty-one thousand, two hundred".