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132122012312140 = 225193112921303119
BaseRepresentation
bin11110000010101000001101…
…100111000110001001001100
3122022210202000012112210112121
4132002220031213012021030
5114304141340122442030
61145000003050142324
736554333426563264
oct3602501547061114
9568722005483477
10132122012312140
11391096a359a014
121299a16a7219a4
13589508ab9c056
14248aa4d3367a4
151041be402247a
hex782a0d9c624c

132122012312140 has 48 divisors (see below), whose sum is σ = 278897212782720. Its totient is φ = 52574337884160.

The previous prime is 132122012312123. The next prime is 132122012312141. The reversal of 132122012312140 is 41213210221231.

It is a super-2 number, since 2×1321220123121402 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132122012312141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 435723501 + ... + 436026619.

It is an arithmetic number, because the mean of its divisors is an integer number (5810358599640).

Almost surely, 2132122012312140 is an apocalyptic number.

132122012312140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132122012312140 is an abundant number, since it is smaller than the sum of its proper divisors (146775200470580).

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

132122012312140 is a wasteful number, since it uses less digits than its factorization.

132122012312140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416242 (or 416240 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 132122012312140 its reverse (41213210221231), we get a palindrome (173335222533371).

The spelling of 132122012312140 in words is "one hundred thirty-two trillion, one hundred twenty-two billion, twelve million, three hundred twelve thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 193 386 772 965 1930 3860 112921 225842 303119 451684 564605 606238 1129210 1212476 1515595 2258420 3031190 6062380 21793753 43587506 58501967 87175012 108968765 117003934 217937530 234007868 292509835 435875060 585019670 1170039340 34228500599 68457001198 136914002396 171142502995 342285005990 684570011980 6606100615607 13212201231214 26424402462428 33030503078035 66061006156070 132122012312140