Search a number
-
+
122412402 = 23271951133
BaseRepresentation
bin1110100101111…
…01110101110010
322112100012020200
413102331311302
5222314144102
620051420030
73014326320
oct722756562
9275305220
10122412402
116310a282
1234bb4616
131c48cc98
1412386d10
15ab3051c
hex74bdd72

122412402 has 48 divisors (see below), whose sum is σ = 319076160. Its totient is φ = 33133536.

The previous prime is 122412401. The next prime is 122412419. The reversal of 122412402 is 204214221.

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

It is not an unprimeable number, because it can be changed into a prime (122412401) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 23173 + ... + 27960.

It is an arithmetic number, because the mean of its divisors is an integer number (6647420).

Almost surely, 2122412402 is an apocalyptic number.

122412402 is an abundant number, since it is smaller than the sum of its proper divisors (196663758).

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

122412402 is a wasteful number, since it uses less digits than its factorization.

122412402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51167 (or 51164 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 122412402 is about 11064.0138286248. The cubic root of 122412402 is about 496.5257849048.

Adding to 122412402 its reverse (204214221), we get a palindrome (326626623).

The spelling of 122412402 in words is "one hundred twenty-two million, four hundred twelve thousand, four hundred two".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 171 266 342 399 798 1197 2394 51133 102266 153399 306798 357931 460197 715862 920394 971527 1073793 1943054 2147586 2914581 3221379 5829162 6442758 6800689 8743743 13601378 17487486 20402067 40804134 61206201 122412402