Search a number
-
+
122003331112332 = 22323388981419787
BaseRepresentation
bin11011101111011000011101…
…001101100101110110001100
3120222222101220220200220222100
4123233120131031211312030
5111442400310231043312
61111251320115115100
734461310164525045
oct3357303515456614
9528871826626870
10122003331112332
113596835a879a9a
12118250908a2a90
13530cb31b47717
14221adc80b78cc
15e188becce5dc
hex6ef61d365d8c

122003331112332 has 18 divisors (see below), whose sum is σ = 308397309200708. Its totient is φ = 40667777037432.

The previous prime is 122003331112331. The next prime is 122003331112363. The reversal of 122003331112332 is 233211133300221.

122003331112332 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 0 + 3 + 3 + 311 + 12 + 332 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 122003331112296 and 122003331112305.

It is not an unprimeable number, because it can be changed into a prime (122003331112331) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1694490709858 + ... + 1694490709929.

Almost surely, 2122003331112332 is an apocalyptic number.

122003331112332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122003331112332 is an abundant number, since it is smaller than the sum of its proper divisors (186393978088376).

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

122003331112332 is a wasteful number, since it uses less digits than its factorization.

122003331112332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3388981419797 (or 3388981419792 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 122003331112332 its reverse (233211133300221), we get a palindrome (355214464412553).

The spelling of 122003331112332 in words is "one hundred twenty-two trillion, three billion, three hundred thirty-one million, one hundred twelve thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 3388981419787 6777962839574 10166944259361 13555925679148 20333888518722 30500832778083 40667777037444 61001665556166 122003331112332