11012120630010 has 64 divisors (see below), whose sum is σ = 29545812524160. Its totient is φ = 2918549750400.

The previous prime is 11012120629999. The next prime is 11012120630053. The reversal of 11012120630010 is 1003602121011.

11012120630010 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 2 + 1 + 20 + 630 + 0 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 125065291 + ... + 125153310.

It is an arithmetic number, because the mean of its divisors is an integer number (461653320690).

Almost surely, 2^{11012120630010} is an apocalyptic number.

11012120630010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11012120630010 is an abundant number, since it is smaller than the sum of its proper divisors (18533691894150).

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

11012120630010 is a wasteful number, since it uses less digits than its factorization.

11012120630010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250218780 (or 250218774 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 11012120630010 its reverse (1003602121011), we get a palindrome (12015722751021).

The spelling of 11012120630010 in words is "eleven trillion, twelve billion, one hundred twenty million, six hundred thirty thousand, ten".