1216237075200 has 972 divisors, whose sum is σ = 5201675587080. Its totient is φ = 277263544320.

The previous prime is 1216237075091. The next prime is 1216237075201. The reversal of 1216237075200 is 25707326121.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1216237075200 is a `hidden beast` number, since 1 + 2 + 1 + 62 + 3 + 70 + 7 + 520 + 0 = 666.

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 not an unprimeable number, because it can be changed into a prime (1216237075201) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3209068611 + ... + 3209068989.

Almost surely, 2^{1216237075200} is an apocalyptic number.

1216237075200 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 1216237075200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2600837793540).

1216237075200 is an abundant number, since it is smaller than the sum of its proper divisors (3985438511880).

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

1216237075200 is an frugal number, since it uses more digits than its factorization.

1216237075200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 1216237075200 in words is "one trillion, two hundred sixteen billion, two hundred thirty-seven million, seventy-five thousand, two hundred".