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122133636 = 22334724061
BaseRepresentation
bin1110100011110…
…01110010000100
322111211000212000
413101321302010
5222231234021
620041425300
73012055512
oct721716204
9274730760
10122133636
1162a39899
1234a9b230
131c3c3131
14123134b2
15aac7b26
hex7479c84

122133636 has 48 divisors (see below), whose sum is σ = 323393280. Its totient is φ = 39843360.

The previous prime is 122133617. The next prime is 122133637. The reversal of 122133636 is 636331221.

It is a happy number.

122133636 is a `hidden beast` number, since 1 + 2 + 21 + 3 + 3 + 636 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (122133637) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6955 + ... + 17106.

It is an arithmetic number, because the mean of its divisors is an integer number (6737360).

Almost surely, 2122133636 is an apocalyptic number.

It is an amenable number.

122133636 is an abundant number, since it is smaller than the sum of its proper divisors (201259644).

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

122133636 is a wasteful number, since it uses less digits than its factorization.

122133636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24121 (or 24113 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 122133636 is about 11051.4087789747. The cubic root of 122133636 is about 496.1485908001.

Adding to 122133636 its reverse (636331221), we get a palindrome (758464857).

The spelling of 122133636 in words is "one hundred twenty-two million, one hundred thirty-three thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 94 108 141 188 282 423 564 846 1269 1692 2538 5076 24061 48122 72183 96244 144366 216549 288732 433098 649647 866196 1130867 1299294 2261734 2598588 3392601 4523468 6785202 10177803 13570404 20355606 30533409 40711212 61066818 122133636