120102213000 has 256 divisors, whose sum is σ = 467182909440. Its totient is φ = 24956256000.

The previous prime is 120102212977. The next prime is 120102213017. The reversal of 120102213000 is 312201021.

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

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, 28962 + ... + 490961.

It is an arithmetic number, because the mean of its divisors is an integer number (1824933240).

Almost surely, 2^120102213000 is an apocalyptic number.

120102213000 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 120102213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233591454720).

120102213000 is an abundant number, since it is smaller than the sum of its proper divisors (347080696440).

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

120102213000 is a wasteful number, since it uses less digits than its factorization.

120102213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519965 (or 519951 counting only the distinct ones).

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

Adding to 120102213000 its reverse (312201021), we get a palindrome (120414414021).

The spelling of 120102213000 in words is "one hundred twenty billion, one hundred two million, two hundred thirteen thousand".