1216217006160 has 160 divisors (see below), whose sum is σ = 4078503625728. Its totient is φ = 298033827840.

The previous prime is 1216217006129. The next prime is 1216217006171. The reversal of 1216217006160 is 616007126121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178261 + ... + 1569780.

Almost surely, 2^{1216217006160} is an apocalyptic number.

1216217006160 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 1216217006160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2039251812864).

1216217006160 is an abundant number, since it is smaller than the sum of its proper divisors (2862286619568).

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

1216217006160 is a wasteful number, since it uses less digits than its factorization.

1216217006160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1748293 (or 1748287 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The spelling of 1216217006160 in words is "one trillion, two hundred sixteen billion, two hundred seventeen million, six thousand, one hundred sixty".