121442534400 has 528 divisors, whose sum is σ = 453052520640. Its totient is φ = 28419686400.

The previous prime is 121442534377. The next prime is 121442534407. The reversal of 121442534400 is 4435244121.

It is a tau number, because it is divible by the number of its divisors (528).

It is a super-2 number, since 2×121442534400² (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 not an unprimeable number, because it can be changed into a prime (121442534407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24496722 + ... + 24501678.

Almost surely, 2^121442534400 is an apocalyptic number.

121442534400 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 121442534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226526260320).

121442534400 is an abundant number, since it is smaller than the sum of its proper divisors (331609986240).

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

121442534400 is a wasteful number, since it uses less digits than its factorization.

121442534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5030 (or 5007 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 121442534400 its reverse (4435244121), we get a palindrome (125877778521).

The spelling of 121442534400 in words is "one hundred twenty-one billion, four hundred forty-two million, five hundred thirty-four thousand, four hundred".