11072121520 has 40 divisors (see below), whose sum is σ = 25819133184. Its totient is φ = 4415695872.

The previous prime is 11072121517. The next prime is 11072121553. The reversal of 11072121520 is 2512127011.

11072121520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×11072121520² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11072121491 and 11072121500.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 178384 + ... + 232303.

Almost surely, 2^11072121520 is an apocalyptic number.

11072121520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11072121520 is an abundant number, since it is smaller than the sum of its proper divisors (14747011664).

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

11072121520 is a wasteful number, since it uses less digits than its factorization.

11072121520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411037 (or 411031 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 22.

Adding to 11072121520 its reverse (2512127011), we get a palindrome (13584248531).

The spelling of 11072121520 in words is "eleven billion, seventy-two million, one hundred twenty-one thousand, five hundred twenty".