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120132123400440 = 23335665916704227
BaseRepresentation
bin11011010100001001110000…
…100010101001100011111000
3120202100112000020021012101000
4123110021300202221203320
5111221221042042303230
61103255534031525000
734206155002436304
oct3324116042514370
9522315006235330
10120132123400440
1135306824904538
12115824b1089760
1352055451c3468
1421945d6556d04
15dd4da3b04b60
hex6d42708a98f8

120132123400440 has 128 divisors (see below), whose sum is σ = 400500570528000. Its totient is φ = 32030420171904.

The previous prime is 120132123400349. The next prime is 120132123400447. The reversal of 120132123400440 is 44004321231021.

120132123400440 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 3 + 212 + 3 + 4 + 0 + 0 + 440 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120132123400447) 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, 1160394 + ... + 15543833.

It is an arithmetic number, because the mean of its divisors is an integer number (3128910707250).

Almost surely, 2120132123400440 is an apocalyptic number.

120132123400440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120132123400440 is an abundant number, since it is smaller than the sum of its proper divisors (280368447127560).

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

120132123400440 is a wasteful number, since it uses less digits than its factorization.

120132123400440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16710906 (or 16710896 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 120132123400440 its reverse (44004321231021), we get a palindrome (164136444631461).

The spelling of 120132123400440 in words is "one hundred twenty trillion, one hundred thirty-two billion, one hundred twenty-three million, four hundred thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 6659 13318 19977 26636 33295 39954 53272 59931 66590 79908 99885 119862 133180 159816 179793 199770 239724 266360 299655 359586 399540 479448 599310 719172 799080 898965 1198620 1438344 1797930 2397240 3595860 7191720 16704227 33408454 50112681 66816908 83521135 100225362 133633816 150338043 167042270 200450724 250563405 300676086 334084540 400901448 451014129 501126810 601352172 668169080 751690215 902028258 1002253620 1202704344 1503380430 1804056516 2004507240 2255070645 3006760860 3608113032 4510141290 6013521720 9020282580 18040565160 111233447593 222466895186 333700342779 444933790372 556167237965 667400685558 889867580744 1001101028337 1112334475930 1334801371116 1668501713895 2002202056674 2224668951860 2669602742232 3003303085011 3337003427790 4004404113348 4449337903720 5005505141685 6006606170022 6674006855580 8008808226696 10011010283370 12013212340044 13348013711160 15016515425055 20022020566740 24026424680088 30033030850110 40044041133480 60066061700220 120132123400440