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122102120 = 2357262297
BaseRepresentation
bin1110100011100…
…10000101101000
322111202102121202
413101302011220
5222224231440
620041023332
73011564600
oct721620550
9274672552
10122102120
1162a18148
1234a84b48
131c3b199a
1412305c00
15aabd615
hex7472168

122102120 has 48 divisors (see below), whose sum is σ = 319588740. Its totient is φ = 41862912.

The previous prime is 122102119. The next prime is 122102129. The reversal of 122102120 is 21201221.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 118940836 + 3161284 = 10906^2 + 1778^2 .

It is not an unprimeable number, because it can be changed into a prime (122102129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29189 + ... + 33108.

Almost surely, 2122102120 is an apocalyptic number.

122102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122102120 is an abundant number, since it is smaller than the sum of its proper divisors (197486620).

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

122102120 is a wasteful number, since it uses less digits than its factorization.

122102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62322 (or 62311 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 122102120 is about 11049.9828054165. The cubic root of 122102120 is about 496.1059108727.

Adding to 122102120 its reverse (21201221), we get a palindrome (143303341).

The spelling of 122102120 in words is "one hundred twenty-two million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 62297 124594 249188 311485 436079 498376 622970 872158 1245940 1744316 2180395 2491880 3052553 3488632 4360790 6105106 8721580 12210212 15262765 17443160 24420424 30525530 61051060 122102120