122033402400 has 432 divisors, whose sum is σ = 497620900224. Its totient is φ = 25747384320.

The previous prime is 122033402383. The next prime is 122033402401. The reversal of 122033402400 is 4204330221.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122033402401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1488889 + ... + 1568711.

It is an arithmetic number, because the mean of its divisors is an integer number (1151900232).

Almost surely, 2^122033402400 is an apocalyptic number.

122033402400 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 122033402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248810450112).

122033402400 is an abundant number, since it is smaller than the sum of its proper divisors (375587497824).

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

122033402400 is a wasteful number, since it uses less digits than its factorization.

122033402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79873 (or 79853 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 122033402400 its reverse (4204330221), we get a palindrome (126237732621).

The spelling of 122033402400 in words is "one hundred twenty-two billion, thirty-three million, four hundred two thousand, four hundred".