1312212000 has 192 divisors, whose sum is σ = 4690078848. Its totient is φ = 318080000.

The previous prime is 1312211987. The next prime is 1312212047. The reversal of 1312212000 is 2122131.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127030 + ... + 136970.

It is an arithmetic number, because the mean of its divisors is an integer number (24427494).

Almost surely, 2^1312212000 is an apocalyptic number.

1312212000 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 1312212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2345039424).

1312212000 is an abundant number, since it is smaller than the sum of its proper divisors (3377866848).

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

1312212000 is a wasteful number, since it uses less digits than its factorization.

1312212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9980 (or 9962 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1312212000 is about 36224.4668697829. The cubic root of 1312212000 is about 1094.7996964781.

Adding to 1312212000 its reverse (2122131), we get a palindrome (1314334131).

It can be divided in two parts, 13122 and 12000, that multiplied together give a cube (157464000 = 540³).

The spelling of 1312212000 in words is "one billion, three hundred twelve million, two hundred twelve thousand".