Search a number
-
+
122111172 = 22333533203
BaseRepresentation
bin1110100011101…
…00010011000100
322111202220001000
413101310103010
5222230024142
620041133300
73011633151
oct721642304
9274686030
10122111172
1162a23a27
1234a8a230
131c3b5b41
1412309228
15aac114c
hex74744c4

122111172 has 48 divisors (see below), whose sum is σ = 317580480. Its totient is φ = 40575744.

The previous prime is 122111159. The next prime is 122111183. The reversal of 122111172 is 271111221.

It is a super-2 number, since 2×1221111722 = 29822276654427168, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36523 + ... + 39725.

It is an arithmetic number, because the mean of its divisors is an integer number (6616260).

Almost surely, 2122111172 is an apocalyptic number.

122111172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122111172 is an abundant number, since it is smaller than the sum of its proper divisors (195469308).

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

122111172 is a wasteful number, since it uses less digits than its factorization.

122111172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3569 (or 3561 counting only the distinct ones).

The product of its digits is 56, while the sum is 18.

The square root of 122111172 is about 11050.3923912230. The cubic root of 122111172 is about 496.1181701185.

Adding to 122111172 its reverse (271111221), we get a palindrome (393222393).

The spelling of 122111172 in words is "one hundred twenty-two million, one hundred eleven thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 353 706 1059 1412 2118 3177 3203 4236 6354 6406 9531 9609 12708 12812 19062 19218 28827 38124 38436 57654 86481 115308 172962 345924 1130659 2261318 3391977 4522636 6783954 10175931 13567908 20351862 30527793 40703724 61055586 122111172