121345524300 has 288 divisors, whose sum is σ = 471398828544. Its totient is φ = 23275008000.

The previous prime is 121345524299. The next prime is 121345524331. The reversal of 121345524300 is 3425543121.

121345524300 is digitally balanced in base 3 and base 7, because in such bases it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 98260 + ... + 502340.

It is an arithmetic number, because the mean of its divisors is an integer number (1636801488).

Almost surely, 2^121345524300 is an apocalyptic number.

121345524300 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 121345524300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235699414272).

121345524300 is an abundant number, since it is smaller than the sum of its proper divisors (350053304244).

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

121345524300 is a wasteful number, since it uses less digits than its factorization.

121345524300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404129 (or 404122 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 121345524300 in words is "one hundred twenty-one billion, three hundred forty-five million, five hundred twenty-four thousand, three hundred".