120213213003000 has 576 divisors, whose sum is σ = 455152263134400. Its totient is φ = 28570556851200.

The previous prime is 120213213002933. The next prime is 120213213003017. The reversal of 120213213003000 is 300312312021.

120213213003000 is a `hidden beast` number, since 1 + 20 + 21 + 3 + 21 + 300 + 300 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 42746317 + ... + 45471683.

It is an arithmetic number, because the mean of its divisors is an integer number (790194901275).

Almost surely, 2^{120213213003000} is an apocalyptic number.

120213213003000 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 120213213003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227576131567200).

120213213003000 is an abundant number, since it is smaller than the sum of its proper divisors (334939050131400).

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

120213213003000 is a wasteful number, since it uses less digits than its factorization.

120213213003000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2725449 (or 2725419 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 120213213003000 its reverse (300312312021), we get a palindrome (120513525315021).

The spelling of 120213213003000 in words is "one hundred twenty trillion, two hundred thirteen billion, two hundred thirteen million, three thousand".