1216137168 has 60 divisors (see below), whose sum is σ = 3417156288. Its totient is φ = 403752000.

The previous prime is 1216137157. The next prime is 1216137179. The reversal of 1216137168 is 8617316121.

1216137168 is a `hidden beast` number, since 1 + 21 + 613 + 7 + 16 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1216137157) and next prime (1216137179).

It is a super-2 number, since 2×1216137168² = 2957979222782120448, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 11 ways as a sum of consecutive naturals, for example, 19321 + ... + 52967.

Almost surely, 2^1216137168 is an apocalyptic number.

1216137168 is a gapful number since it is divisible by the number (18) 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 1216137168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1708578144).

1216137168 is an abundant number, since it is smaller than the sum of its proper divisors (2201019120).

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

1216137168 is a wasteful number, since it uses less digits than its factorization.

1216137168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33912 (or 33903 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 1216137168 is about 34873.1582739505. The cubic root of 1216137168 is about 1067.4007916769.

It can be divided in two parts, 1216 and 137168, that added together give a square (138384 = 372²).

The spelling of 1216137168 in words is "one billion, two hundred sixteen million, one hundred thirty-seven thousand, one hundred sixty-eight".