1216215000 has 960 divisors, whose sum is σ = 5731165440. Its totient is φ = 233280000.

The previous prime is 1216214981. The next prime is 1216215041. The reversal of 1216215000 is 5126121.

1216215000 is a `hidden beast` number, since 1 + 2 + 162 + 1 + 500 + 0 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 93554994 + ... + 93555006.

It is an arithmetic number, because the mean of its divisors is an integer number (5969964).

Almost surely, 2^1216215000 is an apocalyptic number.

1216215000 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 1216215000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2865582720).

1216215000 is an abundant number, since it is smaller than the sum of its proper divisors (4514950440).

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

1216215000 is a wasteful number, since it uses less digits than its factorization.

1216215000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 41 counting only the distinct ones).

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

The square root of 1216215000 is about 34874.2741859956. The cubic root of 1216215000 is about 1067.4235621802.

It can be divided in two parts, 121621 and 5000, that added together give a palindrome (126621).

The spelling of 1216215000 in words is "one billion, two hundred sixteen million, two hundred fifteen thousand".