Search a number
-
+
122000023332 = 223211308080867
BaseRepresentation
bin111000110011111000…
…1001001111100100100
3102122220101120022201200
41301213301021330210
53444324001221312
6132013535522500
711546163042135
oct1614761117444
9378811508650
10122000023332
1147815918270
121b789689430
13b67366c225
145c94c09c8c
1532908700dc
hex1c67c49f24

122000023332 has 36 divisors (see below), whose sum is σ = 336424307856. Its totient is φ = 36969703920.

The previous prime is 122000023309. The next prime is 122000023333. The reversal of 122000023332 is 233320000221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

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 (122000023333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154040038 + ... + 154040829.

Almost surely, 2122000023332 is an apocalyptic number.

122000023332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122000023332 is an abundant number, since it is smaller than the sum of its proper divisors (214424284524).

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

122000023332 is a wasteful number, since it uses less digits than its factorization.

122000023332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308080888 (or 308080883 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 122000023332 its reverse (233320000221), we get a palindrome (355320023553).

The spelling of 122000023332 in words is "one hundred twenty-two billion, twenty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 308080867 616161734 924242601 1232323468 1848485202 2772727803 3388889537 3696970404 5545455606 6777779074 10166668611 11090911212 13555558148 20333337222 30500005833 40666674444 61000011666 122000023332