1216152000 has 672 divisors, whose sum is σ = 5274746880. Its totient is φ = 261273600.

The previous prime is 1216151969. The next prime is 1216152017. The reversal of 1216152000 is 2516121.

It is a tau number, because it is divible by the number of its divisors (672).

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 (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9575937 + ... + 9576063.

Almost surely, 2^1216152000 is an apocalyptic number.

1216152000 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 1216152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2637373440).

1216152000 is an abundant number, since it is smaller than the sum of its proper divisors (4058594880).

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

1216152000 is a wasteful number, since it uses less digits than its factorization.

1216152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1216152000 is about 34873.3709296936. The cubic root of 1216152000 is about 1067.4051309967.

Adding to 1216152000 its reverse (2516121), we get a palindrome (1218668121).

The spelling of 1216152000 in words is "one billion, two hundred sixteen million, one hundred fifty-two thousand".