1122055334400 has 960 divisors, whose sum is σ = 4976917456896. Its totient is φ = 215212032000.

The previous prime is 1122055334353. The next prime is 1122055334401. The reversal of 1122055334400 is 44335502211.

It is a tau number, because it is divible by the number of its divisors (960).

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 (1122055334401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38423805 + ... + 38452995.

Almost surely, 2^{1122055334400} is an apocalyptic number.

1122055334400 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 1122055334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2488458728448).

1122055334400 is an abundant number, since it is smaller than the sum of its proper divisors (3854862122496).

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

1122055334400 is a wasteful number, since it uses less digits than its factorization.

1122055334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29253 (or 29232 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 1122055334400 in words is "one trillion, one hundred twenty-two billion, fifty-five million, three hundred thirty-four thousand, four hundred".