122122142400 has 168 divisors, whose sum is σ = 402262628544. Its totient is φ = 32435840000.

The previous prime is 122122142371. The next prime is 122122142407. The reversal of 122122142400 is 4241221221.

It is not an unprimeable number, because it can be changed into a prime (122122142407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1154119 + ... + 1255481.

It is an arithmetic number, because the mean of its divisors is an integer number (2394420408).

Almost surely, 2^122122142400 is an apocalyptic number.

122122142400 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 122122142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201131314272).

122122142400 is an abundant number, since it is smaller than the sum of its proper divisors (280140486144).

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

122122142400 is a wasteful number, since it uses less digits than its factorization.

122122142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101639 (or 101624 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 122122142400 its reverse (4241221221), we get a palindrome (126363363621).

It can be divided in two parts, 1221221 and 42400, that added together give a palindrome (1263621).

The spelling of 122122142400 in words is "one hundred twenty-two billion, one hundred twenty-two million, one hundred forty-two thousand, four hundred".