1200120100010 has 192 divisors, whose sum is σ = 2508053883552. Its totient is φ = 410865426432.

The previous prime is 1200120099973. The next prime is 1200120100013. The reversal of 1200120100010 is 100010210021.

It can be written as a sum of positive squares in 16 ways, for example, as 33847536529 + 1166272563481 = 183977^2 + 1079941^2 .

It is not an unprimeable number, because it can be changed into a prime (1200120100013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 469345652 + ... + 469348208.

Almost surely, 2^{1200120100010} is an apocalyptic number.

1200120100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1200120100010 is an abundant number, since it is smaller than the sum of its proper divisors (1307933783542).

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

1200120100010 is a wasteful number, since it uses less digits than its factorization.

1200120100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2825 (or 2806 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1200120100010 its reverse (100010210021), we get a palindrome (1300130310031).

The spelling of 1200120100010 in words is "one trillion, two hundred billion, one hundred twenty million, one hundred thousand, ten".