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122200020 = 223251935731
BaseRepresentation
bin1110100100010…
…01111111010100
322111221101220200
413102021333110
5222240400040
620043100500
73012453165
oct722117724
9274841820
10122200020
1162a84758
1234b11730
131c417407
141232d76c
15aadc630
hex7489fd4

122200020 has 72 divisors (see below), whose sum is σ = 390193440. Its totient is φ = 30870720.

The previous prime is 122200007. The next prime is 122200021. The reversal of 122200020 is 20002221.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 122199975 and 122200011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122200021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14446 + ... + 21285.

Almost surely, 2122200020 is an apocalyptic number.

122200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122200020 is an abundant number, since it is smaller than the sum of its proper divisors (267993420).

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

122200020 is a wasteful number, since it uses less digits than its factorization.

122200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35765 (or 35760 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 122200020 is about 11054.4117889646. The cubic root of 122200020 is about 496.2384660209.

Adding to 122200020 its reverse (20002221), we get a palindrome (142202241).

The spelling of 122200020 in words is "one hundred twenty-two million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 35731 71462 107193 142924 178655 214386 321579 357310 428772 535965 643158 678889 714620 1071930 1286316 1357778 1607895 2036667 2143860 2715556 3215790 3394445 4073334 6110001 6431580 6788890 8146668 10183335 12220002 13577780 20366670 24440004 30550005 40733340 61100010 122200020