10120022112012 has 12 divisors (see below), whose sum is σ = 23613384928056. Its totient is φ = 3373340704000.

The previous prime is 10120022111951. The next prime is 10120022112017. The reversal of 10120022112012 is 21021122002101.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×10120022112012² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10120022111982 and 10120022112000.

It is not an unprimeable number, because it can be changed into a prime (10120022112017) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 421667587989 + ... + 421667588012.

It is an arithmetic number, because the mean of its divisors is an integer number (1967782077338).

Almost surely, 2^{10120022112012} is an apocalyptic number.

10120022112012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10120022112012 is an abundant number, since it is smaller than the sum of its proper divisors (13493362816044).

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

10120022112012 is a wasteful number, since it uses less digits than its factorization.

10120022112012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843335176008 (or 843335176006 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10120022112012 its reverse (21021122002101), we get a palindrome (31141144114113).

The spelling of 10120022112012 in words is "ten trillion, one hundred twenty billion, twenty-two million, one hundred twelve thousand, twelve".