Search a number
-
+
12132123211332 = 2233236791719203
BaseRepresentation
bin1011000010001011101011…
…1001001111011001000100
31120221211010112012122211000
42300202322321033121010
53042233042020230312
641445230453013300
72361342215536245
oct260427271173104
946854115178730
1012132123211332
1139582282a6043
12143b353624230
136a009241b287
142dd2ab056ccc
151608b7383adc
hexb08bae4f644

12132123211332 has 96 divisors (see below), whose sum is σ = 32826081576960. Its totient is φ = 3867638211360.

The previous prime is 12132123211331. The next prime is 12132123211349. The reversal of 12132123211332 is 23311232123121.

12132123211332 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 2 + 1 + 2 + 321 + 1 + 332 = 666.

It is a super-2 number, since 2×121321232113322 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 = 12132123211296 and 12132123211305.

It is not an unprimeable number, because it can be changed into a prime (12132123211331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16509243 + ... + 17228445.

It is an arithmetic number, because the mean of its divisors is an integer number (341938349760).

Almost surely, 212132123211332 is an apocalyptic number.

12132123211332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12132123211332 is an abundant number, since it is smaller than the sum of its proper divisors (20693958365628).

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

12132123211332 is a wasteful number, since it uses less digits than its factorization.

12132123211332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726030 (or 726022 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

Adding to 12132123211332 its reverse (23311232123121), we get a palindrome (35443355334453).

The spelling of 12132123211332 in words is "twelve trillion, one hundred thirty-two billion, one hundred twenty-three million, two hundred eleven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 621 828 1242 2484 6791 13582 20373 27164 40746 61119 81492 122238 156193 183357 244476 312386 366714 468579 624772 719203 733428 937158 1405737 1438406 1874316 2157609 2811474 2876812 4217211 4315218 5622948 6472827 8434422 8630436 12945654 16541669 16868844 19418481 25891308 33083338 38836962 49625007 66166676 77673924 99250014 148875021 198500028 297750042 446625063 595500084 893250126 1786500252 4884107573 9768215146 14652322719 19536430292 29304645438 43956968157 58609290876 87913936314 112334474179 131870904471 175827872628 224668948358 263741808942 337003422537 449337896716 527483617884 674006845074 1011010267611 1348013690148 2022020535222 3033030802833 4044041070444 6066061605666 12132123211332