1012133212040 has 64 divisors (see below), whose sum is σ = 2298405760560. Its totient is φ = 401104076800.

The previous prime is 1012133212031. The next prime is 1012133212061. The reversal of 1012133212040 is 402123312101.

It can be written as a sum of positive squares in 8 ways, for example, as 64824215236 + 947308996804 = 254606^2 + 973298^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 11150840 + ... + 11241240.

Almost surely, 2^{1012133212040} is an apocalyptic number.

1012133212040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012133212040 is an abundant number, since it is smaller than the sum of its proper divisors (1286272548520).

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

1012133212040 is a wasteful number, since it uses less digits than its factorization.

1012133212040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93002 (or 92998 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1012133212040 its reverse (402123312101), we get a palindrome (1414256524141).

The spelling of 1012133212040 in words is "one trillion, twelve billion, one hundred thirty-three million, two hundred twelve thousand, forty".