12211073893632 has 288 divisors, whose sum is σ = 33679860673536. Its totient is φ = 3923568230400.

The previous prime is 12211073893591. The next prime is 12211073893637. The reversal of 12211073893632 is 23639837011221.

It is a super-2 number, since 2×12211073893632² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211073893637) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11820980988 + ... + 11820982020.

It is an arithmetic number, because the mean of its divisors is an integer number (116943960672).

Almost surely, 2^{12211073893632} is an apocalyptic number.

12211073893632 is a gapful number since it is divisible by the number (12) 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 12211073893632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16839930336768).

12211073893632 is an abundant number, since it is smaller than the sum of its proper divisors (21468786779904).

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

12211073893632 is a wasteful number, since it uses less digits than its factorization.

12211073893632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2557 (or 2543 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 12211073893632 in words is "twelve trillion, two hundred eleven billion, seventy-three million, eight hundred ninety-three thousand, six hundred thirty-two".