121322554400 has 288 divisors, whose sum is σ = 322156880640. Its totient is φ = 44467937280.

The previous prime is 121322554369. The next prime is 121322554403. The reversal of 121322554400 is 4455223121.

It is a super-2 number, since 2×121322554400² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121322554403) 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, 58807769 + ... + 58809831.

It is an arithmetic number, because the mean of its divisors is an integer number (1118600280).

Almost surely, 2^121322554400 is an apocalyptic number.

121322554400 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 121322554400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161078440320).

121322554400 is an abundant number, since it is smaller than the sum of its proper divisors (200834326240).

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

121322554400 is a wasteful number, since it uses less digits than its factorization.

121322554400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2228 (or 2215 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

Adding to 121322554400 its reverse (4455223121), we get a palindrome (125777777521).

The spelling of 121322554400 in words is "one hundred twenty-one billion, three hundred twenty-two million, five hundred fifty-four thousand, four hundred".