Search a number
-
+
122012120211012 = 22323389225561417
BaseRepresentation
bin11011101111100000101001…
…000101010101111001000100
3121000000020121102221101202200
4123233200221011111321010
5111443021310233223022
61111255332204034500
734462041036606333
oct3357405105257104
9530006542841680
10122012120211012
1135971060011a09
1211826924232a30
1353109029c4825
14221b5bd4add1a
15e18c366ebbac
hex6ef829155e44

122012120211012 has 18 divisors (see below), whose sum is σ = 308419526089038. Its totient is φ = 40670706736992.

The previous prime is 122012120210977. The next prime is 122012120211031. The reversal of 122012120211012 is 210112021210221.

122012120211012 is a `hidden beast` number, since 1 + 220 + 121 + 202 + 110 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 87289668295236 + 34722451915776 = 9342894^2 + 5892576^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 1694612780673 + ... + 1694612780744.

Almost surely, 2122012120211012 is an apocalyptic number.

122012120211012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122012120211012 is an abundant number, since it is smaller than the sum of its proper divisors (186407405878026).

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

122012120211012 is a wasteful number, since it uses less digits than its factorization.

122012120211012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3389225561427 (or 3389225561422 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122012120211012 its reverse (210112021210221), we get a palindrome (332124141421233).

The spelling of 122012120211012 in words is "one hundred twenty-two trillion, twelve billion, one hundred twenty million, two hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 3389225561417 6778451122834 10167676684251 13556902245668 20335353368502 30503030052753 40670706737004 61006060105506 122012120211012