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122132220 = 22357290791
BaseRepresentation
bin1110100011110…
…01011011111100
322111210221220120
413101321123330
5222231212340
620041414540
73012051420
oct721713374
9274727816
10122132220
1162a38821
1234a9a450
131c3c25b2
1412312b80
15aac74d0
hex74796fc

122132220 has 48 divisors (see below), whose sum is σ = 390824448. Its totient is φ = 27915840.

The previous prime is 122132191. The next prime is 122132251. The reversal of 122132220 is 22231221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122132220.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144976 + ... + 145815.

It is an arithmetic number, because the mean of its divisors is an integer number (8142176).

Almost surely, 2122132220 is an apocalyptic number.

122132220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122132220 is an abundant number, since it is smaller than the sum of its proper divisors (268692228).

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

122132220 is a wasteful number, since it uses less digits than its factorization.

122132220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290810 (or 290808 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 122132220 is about 11051.3447145585. The cubic root of 122132220 is about 496.1466733673.

Adding to 122132220 its reverse (22231221), we get a palindrome (144363441).

Subtracting from 122132220 its reverse (22231221), we obtain a palindrome (99900999).

The spelling of 122132220 in words is "one hundred twenty-two million, one hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 290791 581582 872373 1163164 1453955 1744746 2035537 2907910 3489492 4071074 4361865 5815820 6106611 8142148 8723730 10177685 12213222 17447460 20355370 24426444 30533055 40710740 61066110 122132220