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1012112010012 = 22384342667501
BaseRepresentation
bin11101011101001101001…
…00111010101100011100
310120202102211022021200110
432232212210322230130
5113040301133310022
62052542520530020
7133060036065405
oct16564644725434
93522384267613
101012112010012
11360263931324
121441a2320910
13745986ba57c
1436db4ca09ac
151b4d9c6000c
hexeba693ab1c

1012112010012 has 12 divisors (see below), whose sum is σ = 2361594690056. Its totient is φ = 337370670000.

The previous prime is 1012112010011. The next prime is 1012112010037. The reversal of 1012112010012 is 2100102112101.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-3 number, since 3×10121120100123 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 84342667501 = 1012112010012 / (1 + 0 + 1 + 2 + 1 + 1 + 2 + 0 + 1 + 0 + 0 + 1 + 2).

It is a self number, because there is not a number n which added to its sum of digits gives 1012112010012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012112010011) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 42171333739 + ... + 42171333762.

Almost surely, 21012112010012 is an apocalyptic number.

1012112010012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1012112010012 is an abundant number, since it is smaller than the sum of its proper divisors (1349482680044).

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

1012112010012 is a wasteful number, since it uses less digits than its factorization.

1012112010012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84342667508 (or 84342667506 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1012112010012 its reverse (2100102112101), we get a palindrome (3112214122113).

The spelling of 1012112010012 in words is "one trillion, twelve billion, one hundred twelve million, ten thousand, twelve".

Divisors: 1 2 3 4 6 12 84342667501 168685335002 253028002503 337370670004 506056005006 1012112010012