1001012000120 has 64 divisors (see below), whose sum is σ = 2514169722240. Its totient is φ = 355539139200.

The previous prime is 1001012000113. The next prime is 1001012000141. The reversal of 1001012000120 is 210002101001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 1001012000098 and 1001012000107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26434886 + ... + 26472725.

It is an arithmetic number, because the mean of its divisors is an integer number (39283901910).

Almost surely, 2^{1001012000120} is an apocalyptic number.

1001012000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001012000120 is an abundant number, since it is smaller than the sum of its proper divisors (1513157722120).

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

1001012000120 is a wasteful number, since it uses less digits than its factorization.

1001012000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52907676 (or 52907672 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1001012000120 its reverse (210002101001), we get a palindrome (1211014101121).

The spelling of 1001012000120 in words is "one trillion, one billion, twelve million, one hundred twenty", and thus it is an aban number.