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122211320 = 23571139679
BaseRepresentation
bin1110100100011…
…00101111111000
322111221222102012
413102030233320
5222241230240
620043225052
73012531140
oct722145770
9274858365
10122211320
1162a921a0
1234b18188
131c41c5ba
1412333920
15aae0b65
hex748cbf8

122211320 has 64 divisors (see below), whose sum is σ = 342835200. Its totient is φ = 38090880.

The previous prime is 122211319. The next prime is 122211347. The reversal of 122211320 is 23112221.

It is a happy number.

It is a super-2 number, since 2×1222113202 = 29871213472284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 122211295 and 122211304.

It is a congruent number.

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, 16760 + ... + 22919.

It is an arithmetic number, because the mean of its divisors is an integer number (5356800).

Almost surely, 2122211320 is an apocalyptic number.

122211320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122211320 is an abundant number, since it is smaller than the sum of its proper divisors (220623880).

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

122211320 is a wasteful number, since it uses less digits than its factorization.

122211320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39708 (or 39704 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 122211320 is about 11054.9228853032. The cubic root of 122211320 is about 496.2537614953.

Adding to 122211320 its reverse (23112221), we get a palindrome (145323541).

Subtracting from 122211320 its reverse (23112221), we obtain a palindrome (99099099).

The spelling of 122211320 in words is "one hundred twenty-two million, two hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 39679 79358 158716 198395 277753 317432 396790 436469 555506 793580 872938 1111012 1388765 1587160 1745876 2182345 2222024 2777530 3055283 3491752 4364690 5555060 6110566 8729380 11110120 12221132 15276415 17458760 24442264 30552830 61105660 122211320