120212010000 has 150 divisors (see below), whose sum is σ = 420399077670. Its totient is φ = 32056512000.

The previous prime is 120212009969. The next prime is 120212010001. The reversal of 120212010000 is 10212021.

It can be written as a sum of positive squares in 5 ways, for example, as 79632324864 + 40579685136 = 282192^2 + 201444^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (120212010001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 577845 + ... + 757844.

Almost surely, 2^120212010000 is an apocalyptic number.

120212010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120212010000 is an abundant number, since it is smaller than the sum of its proper divisors (300187067670).

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

120212010000 is a wasteful number, since it uses less digits than its factorization.

120212010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335723 (or 1335699 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 120212010000 its reverse (10212021), we get a palindrome (120222222021).

The spelling of 120212010000 in words is "one hundred twenty billion, two hundred twelve million, ten thousand".