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122207120 = 2457218227
BaseRepresentation
bin1110100100010…
…11101110010000
322111221202122122
413102023232100
5222241111440
620043153412
73012512660
oct722135620
9274852578
10122207120
1162a8a022
1234b15868
131c41a709
14123321a0
15aade7b5
hex748bb90

122207120 has 40 divisors (see below), whose sum is σ = 324723264. Its totient is φ = 41899392.

The previous prime is 122207089. The next prime is 122207159. The reversal of 122207120 is 21702221.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108554 + ... + 109673.

Almost surely, 2122207120 is an apocalyptic number.

122207120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122207120 is an abundant number, since it is smaller than the sum of its proper divisors (202516144).

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

122207120 is a wasteful number, since it uses less digits than its factorization.

122207120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218247 (or 218241 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 122207120 is about 11054.7329230516. The cubic root of 122207120 is about 496.2480765618.

Adding to 122207120 its reverse (21702221), we get a palindrome (143909341).

The spelling of 122207120 in words is "one hundred twenty-two million, two hundred seven thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 218227 436454 872908 1091135 1527589 1745816 2182270 3055178 3491632 4364540 6110356 7637945 8729080 12220712 15275890 17458160 24441424 30551780 61103560 122207120