1122025072032 has 144 divisors (see below), whose sum is σ = 3330200659968. Its totient is φ = 357670494720.

The previous prime is 1122025072019. The next prime is 1122025072079. The reversal of 1122025072032 is 2302705202211.

1122025072032 is a `hidden beast` number, since 1 + 122 + 0 + 2 + 507 + 2 + 0 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 1122025071987 and 1122025072005.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36436482 + ... + 36467262.

It is an arithmetic number, because the mean of its divisors is an integer number (23126393472).

Almost surely, 2^{1122025072032} is an apocalyptic number.

1122025072032 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 1122025072032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1665100329984).

1122025072032 is an abundant number, since it is smaller than the sum of its proper divisors (2208175587936).

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

1122025072032 is a wasteful number, since it uses less digits than its factorization.

1122025072032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36323 (or 36312 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 1122025072032 in words is "one trillion, one hundred twenty-two billion, twenty-five million, seventy-two thousand, thirty-two".