Search a number
-
+
122123352 = 23313509769
BaseRepresentation
bin1110100011101…
…11010001011000
322111210111202010
413101313101120
5222230421402
620041305520
73012013521
oct721672130
9274714663
10122123352
1162a3209a
1234a952a0
131c3bb550
141230d848
15aac4a6c
hex7477458

122123352 has 64 divisors (see below), whose sum is σ = 329868000. Its totient is φ = 37453824.

The previous prime is 122123329. The next prime is 122123371. The reversal of 122123352 is 253321221.

It is a super-2 number, since 2×1221233522 = 29828226207431808, which contains 22 as substring.

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, 158424 + ... + 159192.

Almost surely, 2122123352 is an apocalyptic number.

122123352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122123352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164934000).

122123352 is an abundant number, since it is smaller than the sum of its proper divisors (207744648).

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

122123352 is a wasteful number, since it uses less digits than its factorization.

122123352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1300 (or 1296 counting only the distinct ones).

The product of its digits is 720, while the sum is 21.

The square root of 122123352 is about 11050.9434891325. The cubic root of 122123352 is about 496.1346647011.

Adding to 122123352 its reverse (253321221), we get a palindrome (375444573).

The spelling of 122123352 in words is "one hundred twenty-two million, one hundred twenty-three thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 509 769 1018 1527 1538 2036 2307 3054 3076 4072 4614 6108 6152 6617 9228 9997 12216 13234 18456 19851 19994 26468 29991 39702 39988 52936 59982 79404 79976 119964 158808 239928 391421 782842 1174263 1565684 2348526 3131368 4697052 5088473 9394104 10176946 15265419 20353892 30530838 40707784 61061676 122123352