1201012000 has 96 divisors (see below), whose sum is σ = 2966955264. Its totient is φ = 477792000.

The previous prime is 1201011991. The next prime is 1201012027. The reversal of 1201012000 is 2101021.

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, 843289 + ... + 844711.

It is an arithmetic number, because the mean of its divisors is an integer number (30905784).

Almost surely, 2^1201012000 is an apocalyptic number.

1201012000 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 1201012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483477632).

1201012000 is an abundant number, since it is smaller than the sum of its proper divisors (1765943264).

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

1201012000 is a wasteful number, since it uses less digits than its factorization.

1201012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1659 (or 1641 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 1201012000 is about 34655.6200348515. The cubic root of 1201012000 is about 1062.9572103781.

Adding to 1201012000 its reverse (2101021), we get a palindrome (1203113021).

The spelling of 1201012000 in words is "one billion, two hundred one million, twelve thousand".