1216137162240 has 3840 divisors, whose sum is σ = 6169285140480. Its totient is φ = 225740390400.

The previous prime is 1216137162221. The next prime is 1216137162257. The reversal of 1216137162240 is 422617316121.

1216137162240 is a `hidden beast` number, since 1 + 2 + 1 + 61 + 371 + 6 + 224 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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

It is a junction number, because it is equal to n+sod(n) for n = 1216137162195 and 1216137162204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 39230231025 + ... + 39230231055.

It is an arithmetic number, because the mean of its divisors is an integer number (1606584672).

Almost surely, 2^{1216137162240} is an apocalyptic number.

1216137162240 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 1216137162240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3084642570240).

1216137162240 is an abundant number, since it is smaller than the sum of its proper divisors (4953147978240).

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

1216137162240 is an equidigital number, since it uses as much as digits as its factorization.

1216137162240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 1216137162240 in words is "one trillion, two hundred sixteen billion, one hundred thirty-seven million, one hundred sixty-two thousand, two hundred forty".