3212561142 has 128 divisors (see below), whose sum is σ = 8324659200. Its totient is φ = 899434368.

The previous prime is 3212561129. The next prime is 3212561147. The reversal of 3212561142 is 2411652123.

3212561142 is a `hidden beast` number, since 3 + 2 + 1 + 2 + 5 + 611 + 42 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3212561147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4243428 + ... + 4244184.

It is an arithmetic number, because the mean of its divisors is an integer number (65036400).

Almost surely, 2^3212561142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3212561142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4162329600).

3212561142 is an abundant number, since it is smaller than the sum of its proper divisors (5112098058).

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

3212561142 is a wasteful number, since it uses less digits than its factorization.

3212561142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 981 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 3212561142 is about 56679.4596128086. The cubic root of 3212561142 is about 1475.5382338318.

The spelling of 3212561142 in words is "three billion, two hundred twelve million, five hundred sixty-one thousand, one hundred forty-two".