1332113112000 has 672 divisors, whose sum is σ = 5213691684864. Its totient is φ = 321986304000.

The previous prime is 1332113111981. The next prime is 1332113112053. The reversal of 1332113112000 is 2113112331.

1332113112000 is a `hidden beast` number, since 1 + 332 + 1 + 1 + 311 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 290661709 + ... + 290666291.

Almost surely, 2^{1332113112000} is an apocalyptic number.

1332113112000 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 1332113112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2606845842432).

1332113112000 is an abundant number, since it is smaller than the sum of its proper divisors (3881578572864).

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

1332113112000 is a wasteful number, since it uses less digits than its factorization.

1332113112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4994 (or 4971 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1332113112000 its reverse (2113112331), we get a palindrome (1334226224331).

The spelling of 1332113112000 in words is "one trillion, three hundred thirty-two billion, one hundred thirteen million, one hundred twelve thousand".