1012002212120 has 64 divisors (see below), whose sum is σ = 2331311172480. Its totient is φ = 395189853696.

The previous prime is 1012002212107. The next prime is 1012002212131. The reversal of 1012002212120 is 212122002101.

It is a junction number, because it is equal to n+sod(n) for n = 1012002212095 and 1012002212104.

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, 68402 + ... + 1424318.

It is an arithmetic number, because the mean of its divisors is an integer number (36426737070).

Almost surely, 2^{1012002212120} is an apocalyptic number.

1012002212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012002212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1165655586240).

1012002212120 is an abundant number, since it is smaller than the sum of its proper divisors (1319308960360).

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

1012002212120 is a wasteful number, since it uses less digits than its factorization.

1012002212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356372 (or 1356368 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1012002212120 its reverse (212122002101), we get a palindrome (1224124214221).

The spelling of 1012002212120 in words is "one trillion, twelve billion, two million, two hundred twelve thousand, one hundred twenty".