120101322000 has 640 divisors, whose sum is σ = 437551994880. Its totient is φ = 28089600000.

The previous prime is 120101321953. The next prime is 120101322001. The reversal of 120101322000 is 223101021.

It is a super-2 number, since 2×120101322000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (120101322001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 286637791 + ... + 286638209.

It is an arithmetic number, because the mean of its divisors is an integer number (683674992).

Almost surely, 2^120101322000 is an apocalyptic number.

120101322000 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 120101322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218775997440).

120101322000 is an abundant number, since it is smaller than the sum of its proper divisors (317450672880).

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

120101322000 is a wasteful number, since it uses less digits than its factorization.

120101322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 120101322000 its reverse (223101021), we get a palindrome (120324423021).

The spelling of 120101322000 in words is "one hundred twenty billion, one hundred one million, three hundred twenty-two thousand".