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122040200 = 23524712983
BaseRepresentation
bin1110100011000…
…10111110001000
322111122021200102
413101202332020
5222220241300
620035424532
73011216222
oct721427610
9274567612
10122040200
1162985677
1234a55148
131c38c749
14122cb412
15aaaa0d5
hex7462f88

122040200 has 48 divisors (see below), whose sum is σ = 289802880. Its totient is φ = 47773760.

The previous prime is 122040187. The next prime is 122040221. The reversal of 122040200 is 2040221.

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 11 ways as a sum of consecutive naturals, for example, 2909 + ... + 15891.

It is an arithmetic number, because the mean of its divisors is an integer number (6037560).

Almost surely, 2122040200 is an apocalyptic number.

122040200 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 122040200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144901440).

122040200 is an abundant number, since it is smaller than the sum of its proper divisors (167762680).

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

122040200 is a wasteful number, since it uses less digits than its factorization.

122040200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13046 (or 13037 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 122040200 is about 11047.1806358002. The cubic root of 122040200 is about 496.0220355281.

Adding to 122040200 its reverse (2040221), we get a palindrome (124080421).

The spelling of 122040200 in words is "one hundred twenty-two million, forty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 188 200 235 376 470 940 1175 1880 2350 4700 9400 12983 25966 51932 64915 103864 129830 259660 324575 519320 610201 649150 1220402 1298300 2440804 2596600 3051005 4881608 6102010 12204020 15255025 24408040 30510050 61020100 122040200