601012000 has 96 divisors (see below), whose sum is σ = 1492873200. Its totient is φ = 237772800.

The previous prime is 601011977. The next prime is 601012019. The reversal of 601012000 is 210106.

It can be written as a sum of positive squares in 8 ways, for example, as 3111696 + 597900304 = 1764^2 + 24452^2 .

It is a super-2 number, since 2×601012000² = 722430848288000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 387226 + ... + 388774.

Almost surely, 2^601012000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 601012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746436600).

601012000 is an abundant number, since it is smaller than the sum of its proper divisors (891861200).

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

601012000 is a wasteful number, since it uses less digits than its factorization.

601012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1671 (or 1653 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 601012000 is about 24515.5460881458. The cubic root of 601012000 is about 843.9065955348.

Adding to 601012000 its reverse (210106), we get a palindrome (601222106).

The spelling of 601012000 in words is "six hundred one million, twelve thousand".