121721209200 has 180 divisors, whose sum is σ = 427754323360. Its totient is φ = 32048040960.

The previous prime is 121721209157. The next prime is 121721209223. The reversal of 121721209200 is 2902127121.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×121721209200² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 70404 + ... + 498396.

Almost surely, 2^121721209200 is an apocalyptic number.

121721209200 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 121721209200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213877161680).

121721209200 is an abundant number, since it is smaller than the sum of its proper divisors (306033114160).

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

121721209200 is a wasteful number, since it uses less digits than its factorization.

121721209200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428096 (or 428082 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 121721209200 in words is "one hundred twenty-one billion, seven hundred twenty-one million, two hundred nine thousand, two hundred".