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122131224 = 23323175351
BaseRepresentation
bin1110100011110…
…01001100011000
322111210220112200
413101321030120
5222231144344
620041410200
73012045465
oct721711430
9274726480
10122131224
1162a37aa6
1234a99960
131c3c1cc7
141231266c
15aac7069
hex7479318

122131224 has 48 divisors (see below), whose sum is σ = 331877520. Its totient is φ = 40574400.

The previous prime is 122131199. The next prime is 122131237. The reversal of 122131224 is 422131221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a junction number, because it is equal to n+sod(n) for n = 122131197 and 122131206.

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 11 ways as a sum of consecutive naturals, for example, 20149 + ... + 25499.

It is an arithmetic number, because the mean of its divisors is an integer number (6914115).

Almost surely, 2122131224 is an apocalyptic number.

It is an amenable number.

122131224 is an abundant number, since it is smaller than the sum of its proper divisors (209746296).

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

122131224 is a wasteful number, since it uses less digits than its factorization.

122131224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5680 (or 5673 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 122131224 is about 11051.2996520771. The cubic root of 122131224 is about 496.1453246557.

Adding to 122131224 its reverse (422131221), we get a palindrome (544262445).

The spelling of 122131224 in words is "one hundred twenty-two million, one hundred thirty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 317 634 951 1268 1902 2536 2853 3804 5351 5706 7608 10702 11412 16053 21404 22824 32106 42808 48159 64212 96318 128424 192636 385272 1696267 3392534 5088801 6785068 10177602 13570136 15266403 20355204 30532806 40710408 61065612 122131224