121564350300 has 144 divisors (see below), whose sum is σ = 372159791360. Its totient is φ = 30551592960.

The previous prime is 121564350293. The next prime is 121564350337. The reversal of 121564350300 is 3053465121.

It is a super-2 number, since 2×121564350300² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1044849 + ... + 1155351.

Almost surely, 2^121564350300 is an apocalyptic number.

121564350300 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 121564350300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186079895680).

121564350300 is an abundant number, since it is smaller than the sum of its proper divisors (250595441060).

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

121564350300 is a wasteful number, since it uses less digits than its factorization.

121564350300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110732 (or 110725 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 121564350300 in words is "one hundred twenty-one billion, five hundred sixty-four million, three hundred fifty thousand, three hundred".