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122412033012 = 223139269927191
BaseRepresentation
bin111001000000001010…
…0110110001111110100
3102200222002211120202110
41302000110312033310
54001144440024022
6132122454411020
711562325053423
oct1620024661764
9380862746673
10122412033012
1147a07446235
121b883660a70
13b70ab27039
145cd38192ba
1532b6b0700c
hex1c805363f4

122412033012 has 48 divisors (see below), whose sum is σ = 287800128000. Its totient is φ = 40493958240.

The previous prime is 122412032959. The next prime is 122412033017. The reversal of 122412033012 is 210330214221.

It is a super-2 number, since 2×1224120330122 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122412033012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122412033017) 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 15 ways as a sum of consecutive naturals, for example, 4488337 + ... + 4515527.

It is an arithmetic number, because the mean of its divisors is an integer number (5995836000).

Almost surely, 2122412033012 is an apocalyptic number.

122412033012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122412033012 is an abundant number, since it is smaller than the sum of its proper divisors (165388094988).

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

122412033012 is a wasteful number, since it uses less digits than its factorization.

122412033012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30036 (or 30034 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 122412033012 its reverse (210330214221), we get a palindrome (332742247233).

It can be divided in two parts, 12241 and 2033012, that added together give a triangular number (2045253 = T2022).

The spelling of 122412033012 in words is "one hundred twenty-two billion, four hundred twelve million, thirty-three thousand, twelve".

Divisors: 1 2 3 4 6 12 139 278 417 556 834 1668 2699 5398 8097 10796 16194 27191 32388 54382 81573 108764 163146 326292 375161 750322 1125483 1500644 2250966 3779549 4501932 7559098 11338647 15118196 22677294 45354588 73388509 146777018 220165527 293554036 440331054 880662108 10201002751 20402005502 30603008253 40804011004 61206016506 122412033012