1222375334400 has 2160 divisors, whose sum is σ = 5239787275008. Its totient is φ = 269402112000.

The previous prime is 1222375334399. The next prime is 1222375334407. The reversal of 1222375334400 is 44335732221.

1222375334400 is a `hidden beast` number, since 12 + 2 + 237 + 5 + 3 + 3 + 4 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1222375334407) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 33037171182 + ... + 33037171218.

Almost surely, 2^{1222375334400} is an apocalyptic number.

1222375334400 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 1222375334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2619893637504).

1222375334400 is an abundant number, since it is smaller than the sum of its proper divisors (4017411940608).

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

1222375334400 is a wasteful number, since it uses less digits than its factorization.

1222375334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 1222375334400 in words is "one trillion, two hundred twenty-two billion, three hundred seventy-five million, three hundred thirty-four thousand, four hundred".