1012305402020 has 96 divisors (see below), whose sum is σ = 2382852923136. Its totient is φ = 358000473600.

The previous prime is 1012305401993. The next prime is 1012305402029. The reversal of 1012305402020 is 202045032101.

It is a super-3 number, since 3×1012305402020³ (a number of 37 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1012305401983 and 1012305402001.

It is not an unprimeable number, because it can be changed into a prime (1012305402029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18784634 + ... + 18838446.

It is an arithmetic number, because the mean of its divisors is an integer number (24821384616).

Almost surely, 2^{1012305402020} is an apocalyptic number.

1012305402020 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 1012305402020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1191426461568).

1012305402020 is an abundant number, since it is smaller than the sum of its proper divisors (1370547521116).

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

1012305402020 is a wasteful number, since it uses less digits than its factorization.

1012305402020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56181 (or 56179 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The spelling of 1012305402020 in words is "one trillion, twelve billion, three hundred five million, four hundred two thousand, twenty".