121540465030400 has 432 divisors, whose sum is σ = 338943002259456. Its totient is φ = 42812993372160.

The previous prime is 121540465030319. The next prime is 121540465030451. The reversal of 121540465030400 is 4030564045121.

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, 732825884 + ... + 732991716.

It is an arithmetic number, because the mean of its divisors is an integer number (784590283008).

Almost surely, 2^{121540465030400} is an apocalyptic number.

121540465030400 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 121540465030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169471501129728).

121540465030400 is an abundant number, since it is smaller than the sum of its proper divisors (217402537229056).

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

121540465030400 is a wasteful number, since it uses less digits than its factorization.

121540465030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166278 (or 166259 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The spelling of 121540465030400 in words is "one hundred twenty-one trillion, five hundred forty billion, four hundred sixty-five million, thirty thousand, four hundred".