121552534400 has 288 divisors, whose sum is σ = 344427174000. Its totient is φ = 42276044800.

The previous prime is 121552534393. The next prime is 121552534451. The reversal of 121552534400 is 4435255121.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 8898776 + ... + 8912424.

Almost surely, 2^121552534400 is an apocalyptic number.

121552534400 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 121552534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172213587000).

121552534400 is an abundant number, since it is smaller than the sum of its proper divisors (222874639600).

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

121552534400 is a wasteful number, since it uses less digits than its factorization.

121552534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13718 (or 13690 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 32.

Adding to 121552534400 its reverse (4435255121), we get a palindrome (125987789521).

The spelling of 121552534400 in words is "one hundred twenty-one billion, five hundred fifty-two million, five hundred thirty-four thousand, four hundred".