Search a number
-
+
122120220330 = 23251356891337
BaseRepresentation
bin111000110111011101…
…1101010111010101010
3102200012202201222000100
41301232323222322222
54000100234022310
6132033512050230
711552152513533
oct1615673527252
9380182658010
10122120220330
1147877754029
121b801993976
13b692534a04
145ca6b7768a
15329b1b3ec0
hex1c6eeeaeaa

122120220330 has 24 divisors (see below), whose sum is σ = 317512573092. Its totient is φ = 32565392064.

The previous prime is 122120220329. The next prime is 122120220359. The reversal of 122120220330 is 33022021221.

It can be written as a sum of positive squares in 2 ways, for example, as 109949938569 + 12170281761 = 331587^2 + 110319^2 .

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 11 ways as a sum of consecutive naturals, for example, 678445579 + ... + 678445758.

Almost surely, 2122120220330 is an apocalyptic number.

122120220330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122120220330 is an abundant number, since it is smaller than the sum of its proper divisors (195392352762).

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

122120220330 is a wasteful number, since it uses less digits than its factorization.

122120220330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356891350 (or 1356891347 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 122120220330 its reverse (33022021221), we get a palindrome (155142241551).

The spelling of 122120220330 in words is "one hundred twenty-two billion, one hundred twenty million, two hundred twenty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1356891337 2713782674 4070674011 6784456685 8141348022 12212022033 13568913370 20353370055 24424044066 40706740110 61060110165 122120220330