11212634612400 has 480 divisors, whose sum is σ = 38910595395840. Its totient is φ = 2743663104000.

The previous prime is 11212634612383. The next prime is 11212634612429. The reversal of 11212634612400 is 421643621211.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3854462146 + ... + 3854465054.

It is an arithmetic number, because the mean of its divisors is an integer number (81063740408).

Almost surely, 2^{11212634612400} is an apocalyptic number.

11212634612400 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 11212634612400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19455297697920).

11212634612400 is an abundant number, since it is smaller than the sum of its proper divisors (27697960783440).

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

11212634612400 is a wasteful number, since it uses less digits than its factorization.

11212634612400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4325 (or 4314 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 11212634612400 in words is "eleven trillion, two hundred twelve billion, six hundred thirty-four million, six hundred twelve thousand, four hundred".