12010012121120 has 72 divisors (see below), whose sum is σ = 30724133888196. Its totient is φ = 4434466003968.

The previous prime is 12010012121101. The next prime is 12010012121161. The reversal of 12010012121120 is 2112121001021.

It can be written as a sum of positive squares in 6 ways, for example, as 1520160770704 + 10489851350416 = 1232948^2 + 3238804^2 .

It is a super-2 number, since 2×12010012121120² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12010012121095 and 12010012121104.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 222051587 + ... + 222105666.

Almost surely, 2^{12010012121120} is an apocalyptic number.

12010012121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12010012121120 is an abundant number, since it is smaller than the sum of its proper divisors (18714121767076).

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

12010012121120 is a wasteful number, since it uses less digits than its factorization.

12010012121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444157294 (or 444157273 counting only the distinct ones).

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

Adding to 12010012121120 its reverse (2112121001021), we get a palindrome (14122133122141).

The spelling of 12010012121120 in words is "twelve trillion, ten billion, twelve million, one hundred twenty-one thousand, one hundred twenty".