12212048160000 has 2160 divisors, whose sum is σ = 50130299419200. Its totient is φ = 2928586752000.

The previous prime is 12212048159999. The next prime is 12212048160073. The reversal of 12212048160000 is 6184021221.

12212048160000 is a `hidden beast` number, since 1 + 2 + 2 + 12 + 0 + 48 + 1 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-4 number, since 4×12212048160000⁴ (a number of 53 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 31393439806 + ... + 31393440194.

Almost surely, 2^{12212048160000} is an apocalyptic number.

12212048160000 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 12212048160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25065149709600).

12212048160000 is an abundant number, since it is smaller than the sum of its proper divisors (37918251259200).

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

12212048160000 is an equidigital number, since it uses as much as digits as its factorization.

12212048160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 12212048160000 in words is "twelve trillion, two hundred twelve billion, forty-eight million, one hundred sixty thousand".