1231012000 has 96 divisors (see below), whose sum is σ = 3035672640. Its totient is φ = 490604800.

The previous prime is 1231011997. The next prime is 1231012043. The reversal of 1231012000 is 2101321.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1867671 + ... + 1868329.

It is an arithmetic number, because the mean of its divisors is an integer number (31621590).

Almost surely, 2^1231012000 is an apocalyptic number.

1231012000 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 1231012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517836320).

1231012000 is an abundant number, since it is smaller than the sum of its proper divisors (1804660640).

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

1231012000 is an equidigital number, since it uses as much as digits as its factorization.

1231012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1133 counting only the distinct ones).

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

The square root of 1231012000 is about 35085.7805955632. The cubic root of 1231012000 is about 1071.7350369880.

Adding to 1231012000 its reverse (2101321), we get a palindrome (1233113321).

It can be divided in two parts, 12310 and 12000, that added together give a triangular number (24310 = T₂₂₀).

The spelling of 1231012000 in words is "one billion, two hundred thirty-one million, twelve thousand".