1222113624192 has 384 divisors, whose sum is σ = 3647267170560. Its totient is φ = 392571518976.

The previous prime is 1222113624143. The next prime is 1222113624229. The reversal of 1222113624192 is 2914263112221.

1222113624192 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 1 + 13 + 624 + 19 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1118127198 + ... + 1118128290.

It is an arithmetic number, because the mean of its divisors is an integer number (9498091590).

Almost surely, 2^{1222113624192} is an apocalyptic number.

1222113624192 is a gapful number since it is divisible by the number (12) 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 1222113624192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1823633585280).

1222113624192 is an abundant number, since it is smaller than the sum of its proper divisors (2425153546368).

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

1222113624192 is a wasteful number, since it uses less digits than its factorization.

1222113624192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1460 (or 1445 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The spelling of 1222113624192 in words is "one trillion, two hundred twenty-two billion, one hundred thirteen million, six hundred twenty-four thousand, one hundred ninety-two".