12211620144880 has 320 divisors, whose sum is σ = 32420116979712. Its totient is φ = 4245649551360.

The previous prime is 12211620144859. The next prime is 12211620144887. The reversal of 12211620144880 is 8844102611221.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211620144887) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 364585414 + ... + 364618906.

Almost surely, 2^{12211620144880} is an apocalyptic number.

12211620144880 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 12211620144880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16210058489856).

12211620144880 is an abundant number, since it is smaller than the sum of its proper divisors (20208496834832).

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

12211620144880 is a wasteful number, since it uses less digits than its factorization.

12211620144880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33856 (or 33850 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 40.

The spelling of 12211620144880 in words is "twelve trillion, two hundred eleven billion, six hundred twenty million, one hundred forty-four thousand, eight hundred eighty".