120021000 has 128 divisors (see below), whose sum is σ = 408620160. Its totient is φ = 29088000.

The previous prime is 120020993. The next prime is 120021017. The reversal of 120021000 is 120021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 120021000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31182 + ... + 34818.

It is an arithmetic number, because the mean of its divisors is an integer number (3192345).

Almost surely, 2^120021000 is an apocalyptic number.

120021000 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 120021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204310080).

120021000 is an abundant number, since it is smaller than the sum of its proper divisors (288599160).

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

120021000 is a wasteful number, since it uses less digits than its factorization.

120021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3672 (or 3658 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 120021000 is about 10955.4096226476. The cubic root of 120021000 is about 493.2711856621.

Adding to 120021000 its reverse (120021), we get a palindrome (120141021).

120021000 divided by its reverse (120021) gives a cube (1000 = 10³).

The spelling of 120021000 in words is "one hundred twenty million, twenty-one thousand".