1216883052000 has 3456 divisors, whose sum is σ = 6024736972800. Its totient is φ = 230307840000.

The previous prime is 1216883051981. The next prime is 1216883052041. The reversal of 1216883052000 is 2503886121.

It is a happy number.

1216883052000 is a `hidden beast` number, since 1 + 21 + 6 + 88 + 30 + 520 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 39254291985 + ... + 39254292015.

It is an arithmetic number, because the mean of its divisors is an integer number (1743268800).

Almost surely, 2^{1216883052000} is an apocalyptic number.

1216883052000 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 1216883052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3012368486400).

1216883052000 is an abundant number, since it is smaller than the sum of its proper divisors (4807853920800).

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

1216883052000 is a wasteful number, since it uses less digits than its factorization.

1216883052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 1216883052000 in words is "one trillion, two hundred sixteen billion, eight hundred eighty-three million, fifty-two thousand".