1356612000 has 96 divisors (see below), whose sum is σ = 4444300224. Its totient is φ = 361760000.

The previous prime is 1356611983. The next prime is 1356612017. The reversal of 1356612000 is 2166531.

It is an interprime number because it is at equal distance from previous prime (1356611983) and next prime (1356612017).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1356612000² = 3680792237088000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44526 + ... + 68525.

It is an arithmetic number, because the mean of its divisors is an integer number (46294794).

Almost surely, 2^1356612000 is an apocalyptic number.

1356612000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1356612000 is an abundant number, since it is smaller than the sum of its proper divisors (3087688224).

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

1356612000 is a wasteful number, since it uses less digits than its factorization.

1356612000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113079 (or 113061 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 1356612000 is about 36832.2141609760. The cubic root of 1356612000 is about 1107.0108685627.

Adding to 1356612000 its reverse (2166531), we get a palindrome (1358778531).

The spelling of 1356612000 in words is "one billion, three hundred fifty-six million, six hundred twelve thousand".