1200010002120 has 96 divisors (see below), whose sum is σ = 4005438835320. Its totient is φ = 311353943040.

The previous prime is 1200010002073. The next prime is 1200010002187. The reversal of 1200010002120 is 212000100021.

It can be written as a sum of positive squares in 4 ways, for example, as 1193420783844 + 6589218276 = 1092438^2 + 81174^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45032101 + ... + 45058740.

Almost surely, 2^{1200010002120} is an apocalyptic number.

1200010002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1200010002120 is an abundant number, since it is smaller than the sum of its proper divisors (2805428833200).

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

1200010002120 is a wasteful number, since it uses less digits than its factorization.

1200010002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90090895 (or 90090888 counting only the distinct ones).

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

Adding to 1200010002120 its reverse (212000100021), we get a palindrome (1412010102141).

The spelling of 1200010002120 in words is "one trillion, two hundred billion, ten million, two thousand, one hundred twenty".