120020322213000 has 768 divisors, whose sum is σ = 459901338624000. Its totient is φ = 29034783072000.

The previous prime is 120020322212893. The next prime is 120020322213073. The reversal of 120020322213000 is 312223020021.

120020322213000 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 20 + 322 + 21 + 300 + 0 = 666.

It is a super-2 number, since 2×120020322213000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1280320131 + ... + 1280413869.

It is an arithmetic number, because the mean of its divisors is an integer number (598829868000).

Almost surely, 2^{120020322213000} is an apocalyptic number.

120020322213000 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 120020322213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229950669312000).

120020322213000 is an abundant number, since it is smaller than the sum of its proper divisors (339881016411000).

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

120020322213000 is a wasteful number, since it uses less digits than its factorization.

120020322213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94265 (or 94239 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 120020322213000 its reverse (312223020021), we get a palindrome (120332545233021).

The spelling of 120020322213000 in words is "one hundred twenty trillion, twenty billion, three hundred twenty-two million, two hundred thirteen thousand".