1216294226400 has 864 divisors, whose sum is σ = 4850532046080. Its totient is φ = 262888243200.

The previous prime is 1216294226359. The next prime is 1216294226401. The reversal of 1216294226400 is 46224926121.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1216294226401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 93792717 + ... + 93805683.

It is an arithmetic number, because the mean of its divisors is an integer number (5614041720).

Almost surely, 2^{1216294226400} is an apocalyptic number.

1216294226400 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 1216294226400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2425266023040).

1216294226400 is an abundant number, since it is smaller than the sum of its proper divisors (3634237819680).

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

1216294226400 is a wasteful number, since it uses less digits than its factorization.

1216294226400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13048 (or 13024 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 1216294226400 in words is "one trillion, two hundred sixteen billion, two hundred ninety-four million, two hundred twenty-six thousand, four hundred".