12221020001120 has 192 divisors, whose sum is σ = 33805106165376. Its totient is φ = 4088289853440.

The previous prime is 12221020001101. The next prime is 12221020001137. The reversal of 12221020001120 is 2110002012221.

12221020001120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 12221020001095 and 12221020001104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10175432 + ... + 11312888.

It is an arithmetic number, because the mean of its divisors is an integer number (176068261278).

Almost surely, 2^{12221020001120} is an apocalyptic number.

12221020001120 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 12221020001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16902553082688).

12221020001120 is an abundant number, since it is smaller than the sum of its proper divisors (21584086164256).

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

12221020001120 is a wasteful number, since it uses less digits than its factorization.

12221020001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137713 (or 1137705 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12221020001120 its reverse (2110002012221), we get a palindrome (14331022013341).

The spelling of 12221020001120 in words is "twelve trillion, two hundred twenty-one billion, twenty million, one thousand, one hundred twenty".