1012112021120 has 64 divisors (see below), whose sum is σ = 2419774560000. Its totient is φ = 404812305408.

The previous prime is 1012112021077. The next prime is 1012112021143. The reversal of 1012112021120 is 211202112101.

1012112021120 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 (64).

It is a super-3 number, since 3×1012112021120³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1012112021095 and 1012112021104.

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, 8902877 + ... + 9015843.

It is an arithmetic number, because the mean of its divisors is an integer number (37808977500).

Almost surely, 2^{1012112021120} is an apocalyptic number.

1012112021120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012112021120 is an abundant number, since it is smaller than the sum of its proper divisors (1407662538880).

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

1012112021120 is a wasteful number, since it uses less digits than its factorization.

1012112021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126985 (or 126973 counting only the distinct ones).

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

Adding to 1012112021120 its reverse (211202112101), we get a palindrome (1223314133221).

The spelling of 1012112021120 in words is "one trillion, twelve billion, one hundred twelve million, twenty-one thousand, one hundred twenty".