11012001122120 has 32 divisors (see below), whose sum is σ = 25116413524920. Its totient is φ = 4344460715520.

The previous prime is 11012001122107. The next prime is 11012001122137. The reversal of 11012001122120 is 2122110021011.

It can be written as a sum of positive squares in 4 ways, for example, as 9793657588324 + 1218343533796 = 3129482^2 + 1103786^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11012001122095 and 11012001122104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1885613711 + ... + 1885619550.

Almost surely, 2^{11012001122120} is an apocalyptic number.

11012001122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11012001122120 is an abundant number, since it is smaller than the sum of its proper divisors (14104412402800).

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

11012001122120 is a wasteful number, since it uses less digits than its factorization.

11012001122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3771233345 (or 3771233341 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11012001122120 its reverse (2122110021011), we get a palindrome (13134111143131).

The spelling of 11012001122120 in words is "eleven trillion, twelve billion, one million, one hundred twenty-two thousand, one hundred twenty".