1012020000 has 240 divisors, whose sum is σ = 3372570432. Its totient is φ = 265600000.

The previous prime is 1012019993. The next prime is 1012020019. The reversal of 1012020000 is 202101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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, 6059917 + ... + 6060083.

Almost surely, 2^1012020000 is an apocalyptic number.

1012020000 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 1012020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1686285216).

1012020000 is an abundant number, since it is smaller than the sum of its proper divisors (2360550432).

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

1012020000 is a wasteful number, since it uses less digits than its factorization.

1012020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 1012020000 is about 31812.2617869274. The cubic root of 1012020000 is about 1003.9907196382.

Adding to 1012020000 its reverse (202101), we get a palindrome (1012222101).

The spelling of 1012020000 in words is "one billion, twelve million, twenty thousand".