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122330120 = 23511299587
BaseRepresentation
bin1110100101010…
…01110000001000
322112012000101012
413102221300020
5222304030440
620045543052
73013534403
oct722516010
9275160335
10122330120
1163063480
1234b74a88
131c4616b3
1412364d3a
15ab15e65
hex74a9c08

122330120 has 64 divisors (see below), whose sum is σ = 310651200. Its totient is φ = 42945280.

The previous prime is 122330119. The next prime is 122330129. The reversal of 122330120 is 21033221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 122330095 and 122330104.

It is not an unprimeable number, because it can be changed into a prime (122330129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7967 + ... + 17553.

It is an arithmetic number, because the mean of its divisors is an integer number (4853925).

Almost surely, 2122330120 is an apocalyptic number.

122330120 is a gapful number since it is divisible by the number (10) 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 122330120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155325600).

122330120 is an abundant number, since it is smaller than the sum of its proper divisors (188321080).

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

122330120 is a wasteful number, since it uses less digits than its factorization.

122330120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9638 (or 9634 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 122330120 is about 11060.2947519494. The cubic root of 122330120 is about 496.4145099815.

Adding to 122330120 its reverse (21033221), we get a palindrome (143363341).

The spelling of 122330120 in words is "one hundred twenty-two million, three hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 44 55 58 88 110 116 145 220 232 290 319 440 580 638 1160 1276 1595 2552 3190 6380 9587 12760 19174 38348 47935 76696 95870 105457 191740 210914 278023 383480 421828 527285 556046 843656 1054570 1112092 1390115 2109140 2224184 2780230 3058253 4218280 5560460 6116506 11120920 12233012 15291265 24466024 30582530 61165060 122330120