101412612 has 72 divisors (see below), whose sum is σ = 305725056. Its totient is φ = 27713664.

The previous prime is 101412611. The next prime is 101412617. The reversal of 101412612 is 216214101.

101412612 is a `hidden beast` number, since 10 + 1 + 41 + 2 + 612 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (101412611) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2953 + ... + 14544.

Almost surely, 2^101412612 is an apocalyptic number.

101412612 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101412612 is an abundant number, since it is smaller than the sum of its proper divisors (204312444).

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

101412612 is a wasteful number, since it uses less digits than its factorization.

101412612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17537 (or 17532 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 101412612 is about 10070.3829122829. The cubic root of 101412612 is about 466.3342601085.

Adding to 101412612 its reverse (216214101), we get a palindrome (317626713).

The spelling of 101412612 in words is "one hundred one million, four hundred twelve thousand, six hundred twelve".