120133322221000 has 256 divisors, whose sum is σ = 330833451237120. Its totient is φ = 40339386880000.

The previous prime is 120133322220979. The next prime is 120133322221007. The reversal of 120133322221000 is 122223331021.

It is a super-2 number, since 2×120133322221000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (120133322221007) 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, 3850395 + ... + 15971605.

It is an arithmetic number, because the mean of its divisors is an integer number (1292318168895).

Almost surely, 2^{120133322221000} is an apocalyptic number.

120133322221000 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 120133322221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165416725618560).

120133322221000 is an abundant number, since it is smaller than the sum of its proper divisors (210700129016120).

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

120133322221000 is a wasteful number, since it uses less digits than its factorization.

120133322221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12121313 (or 12121299 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 120133322221000 its reverse (122223331021), we get a palindrome (120255545552021).

The spelling of 120133322221000 in words is "one hundred twenty trillion, one hundred thirty-three billion, three hundred twenty-two million, two hundred twenty-one thousand".