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123120031221 = 32115360139043
BaseRepresentation
bin111001010101010000…
…1101001010111110101
3102202210110001121201100
41302222201221113311
54004122211444341
6132321025320313
711616012666225
oct1625241512765
9382713047640
10123120031221
1148240058820
121ba40796099
13b7c1706aa5
145d5d876085
153308d593b6
hex1caa8695f5

123120031221 has 48 divisors (see below), whose sum is σ = 198001806912. Its totient is φ = 73086624000.

The previous prime is 123120031211. The next prime is 123120031249. The reversal of 123120031221 is 122130021321.

It is not a de Polignac number, because 123120031221 - 211 = 123120029173 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 123120031194 and 123120031203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123120031211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3133926 + ... + 3172968.

It is an arithmetic number, because the mean of its divisors is an integer number (4125037644).

Almost surely, 2123120031221 is an apocalyptic number.

123120031221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123120031221 is a deficient number, since it is larger than the sum of its proper divisors (74881775691).

123120031221 is a wasteful number, since it uses less digits than its factorization.

123120031221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39714 (or 39711 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 123120031221 its reverse (122130021321), we get a palindrome (245250052542).

The spelling of 123120031221 in words is "one hundred twenty-three billion, one hundred twenty million, thirty-one thousand, two hundred twenty-one".

Divisors: 1 3 9 11 33 53 99 159 477 583 601 1749 1803 5247 5409 6611 19833 31853 39043 59499 95559 117129 286677 350383 351387 429473 1051149 1288419 2069279 3153447 3865257 6207837 18623511 22762069 23464843 68286207 70394529 204858621 211183587 258113273 774339819 1243636679 2323019457 3730910037 11192730111 13680003469 41040010407 123120031221