Search a number
-
+
122115900 = 22352616673
BaseRepresentation
bin1110100011101…
…01011100111100
322111210010112010
413101311130330
5222230202100
620041211220
73011653014
oct721653474
9274703463
10122115900
1162a27535
1234a90b10
131c3b803a
141230ac44
15aac2750
hex747573c

122115900 has 72 divisors (see below), whose sum is σ = 359167984. Its totient is φ = 32025600.

The previous prime is 122115883. The next prime is 122115923. The reversal of 122115900 is 9511221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14964 + ... + 21636.

Almost surely, 2122115900 is an apocalyptic number.

122115900 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 122115900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179583992).

122115900 is an abundant number, since it is smaller than the sum of its proper divisors (237052084).

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

122115900 is a wasteful number, since it uses less digits than its factorization.

122115900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6751 (or 6744 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

The square root of 122115900 is about 11050.6063182072. The cubic root of 122115900 is about 496.1245730720.

The spelling of 122115900 in words is "one hundred twenty-two million, one hundred fifteen thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 61 75 100 122 150 183 244 300 305 366 610 732 915 1220 1525 1830 3050 3660 4575 6100 6673 9150 13346 18300 20019 26692 33365 40038 66730 80076 100095 133460 166825 200190 333650 400380 407053 500475 667300 814106 1000950 1221159 1628212 2001900 2035265 2442318 4070530 4884636 6105795 8141060 10176325 12211590 20352650 24423180 30528975 40705300 61057950 122115900