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122375220 = 2235111571181
BaseRepresentation
bin1110100101101…
…00110000110100
322112021022020120
413102310300310
5222312001340
620050531540
73014113032
oct722646064
9275238216
10122375220
1163094350
1234b96bb0
131c479096
1412377552
15ab244d0
hex74b4c34

122375220 has 96 divisors (see below), whose sum is σ = 376500096. Its totient is φ = 29452800.

The previous prime is 122375213. The next prime is 122375237. The reversal of 122375220 is 22573221.

It is a happy number.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 103030 + ... + 104210.

It is an arithmetic number, because the mean of its divisors is an integer number (3921876).

Almost surely, 2122375220 is an apocalyptic number.

122375220 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 122375220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188250048).

122375220 is an abundant number, since it is smaller than the sum of its proper divisors (254124876).

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

122375220 is a wasteful number, since it uses less digits than its factorization.

122375220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1361 (or 1359 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 122375220 is about 11062.3333885758. Note that the first 4 decimals coincide. The cubic root of 122375220 is about 496.4755076154.

The spelling of 122375220 in words is "one hundred twenty-two million, three hundred seventy-five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 157 165 220 314 330 471 628 660 785 942 1181 1570 1727 1884 2355 2362 3140 3454 3543 4710 4724 5181 5905 6908 7086 8635 9420 10362 11810 12991 14172 17270 17715 20724 23620 25905 25982 34540 35430 38973 51810 51964 64955 70860 77946 103620 129910 155892 185417 194865 259820 370834 389730 556251 741668 779460 927085 1112502 1854170 2039587 2225004 2781255 3708340 4079174 5562510 6118761 8158348 10197935 11125020 12237522 20395870 24475044 30593805 40791740 61187610 122375220