1012491000 has 384 divisors, whose sum is σ = 3738009600. Its totient is φ = 246240000.

The previous prime is 1012490989. The next prime is 1012491001. The reversal of 1012491000 is 1942101.

1012491000 = T₁₅₁ + T₁₅₂ + ... + T₁₈₂₄.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012491001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5300905 + ... + 5301095.

It is an arithmetic number, because the mean of its divisors is an integer number (9734400).

Almost surely, 2^1012491000 is an apocalyptic number.

1012491000 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 1012491000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1869004800).

1012491000 is an abundant number, since it is smaller than the sum of its proper divisors (2725518600).

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

1012491000 is a wasteful number, since it uses less digits than its factorization.

1012491000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 1012491000 is about 31819.6637317241. The cubic root of 1012491000 is about 1004.1464498569.

It can be divided in two parts, 10124 and 91000, that added together give a square (101124 = 318²).

The spelling of 1012491000 in words is "one billion, twelve million, four hundred ninety-one thousand".