2012307701760 has 600 divisors, whose sum is σ = 7639072943040. Its totient is φ = 505021464576.

The previous prime is 2012307701737. The next prime is 2012307701821. The reversal of 2012307701760 is 671077032102.

It is a super-2 number, since 2×2012307701760² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 112794921 + ... + 112812759.

Almost surely, 2^{2012307701760} is an apocalyptic number.

2012307701760 is a gapful number since it is divisible by the number (20) 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 2012307701760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3819536471520).

2012307701760 is an abundant number, since it is smaller than the sum of its proper divisors (5626765241280).

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

2012307701760 is an equidigital number, since it uses as much as digits as its factorization.

2012307701760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17901 (or 17866 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The spelling of 2012307701760 in words is "two trillion, twelve billion, three hundred seven million, seven hundred one thousand, seven hundred sixty".