Search a number
-
+
122012460 = 22335225949
BaseRepresentation
bin1110100010111…
…00001100101100
322111120212122000
413101130030230
5222213344320
620035052300
73011042313
oct721341454
9274525560
10122012460
1162966849
1234a41090
131c37cc2b
14122c127a
15aaa1c90
hex745c32c

122012460 has 48 divisors (see below), whose sum is σ = 379596000. Its totient is φ = 32536512.

The previous prime is 122012441. The next prime is 122012467. The reversal of 122012460 is 64210221.

122012460 is a `hidden beast` number, since 1 + 2 + 201 + 2 + 460 = 666.

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 (122012467) 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, 112435 + ... + 113514.

It is an arithmetic number, because the mean of its divisors is an integer number (7908250).

Almost surely, 2122012460 is an apocalyptic number.

122012460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122012460 is an abundant number, since it is smaller than the sum of its proper divisors (257583540).

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

122012460 is a wasteful number, since it uses less digits than its factorization.

122012460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225967 (or 225959 counting only the distinct ones).

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

The square root of 122012460 is about 11045.9250404844. The cubic root of 122012460 is about 495.9844503883.

Adding to 122012460 its reverse (64210221), we get a palindrome (186222681).

The spelling of 122012460 in words is "one hundred twenty-two million, twelve thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 225949 451898 677847 903796 1129745 1355694 2033541 2259490 2711388 3389235 4067082 4518980 6100623 6778470 8134164 10167705 12201246 13556940 20335410 24402492 30503115 40670820 61006230 122012460