120021200000 has 192 divisors, whose sum is σ = 321865102440. Its totient is φ = 44313600000.

The previous prime is 120021199951. The next prime is 120021200009. The reversal of 120021200000 is 2120021.

It can be written as a sum of positive squares in 12 ways, for example, as 79285043776 + 40736156224 = 281576^2 + 201832^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (120021200009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5188460 + ... + 5211540.

Almost surely, 2^120021200000 is an apocalyptic number.

120021200000 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 120021200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160932551220).

120021200000 is an abundant number, since it is smaller than the sum of its proper divisors (201843902440).

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

120021200000 is an frugal number, since it uses more digits than its factorization.

120021200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23133 (or 23101 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 120021200000 its reverse (2120021), we get a palindrome (120023320021).

The spelling of 120021200000 in words is "one hundred twenty billion, twenty-one million, two hundred thousand".