133012021221120 has 576 divisors, whose sum is σ = 444886838968320. Its totient is φ = 33804688490496.

The previous prime is 133012021221109. The next prime is 133012021221179. The reversal of 133012021221120 is 21122120210331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58621427346 + ... + 58621429614.

It is an arithmetic number, because the mean of its divisors is an integer number (772372984320).

Almost surely, 2^{133012021221120} is an apocalyptic number.

133012021221120 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 133012021221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222443419484160).

133012021221120 is an abundant number, since it is smaller than the sum of its proper divisors (311874817747200).

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

133012021221120 is a wasteful number, since it uses less digits than its factorization.

133012021221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4432 (or 4418 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 133012021221120 its reverse (21122120210331), we get a palindrome (154134141431451).

The spelling of 133012021221120 in words is "one hundred thirty-three trillion, twelve billion, twenty-one million, two hundred twenty-one thousand, one hundred twenty".