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123012131000 = 23531121375233
BaseRepresentation
bin111001010010000011…
…0000010100010111000
3102202111221000201102212
41302210012002202320
54003412101143000
6132302212514252
711613232601303
oct1624406024270
9382457021385
10123012131000
1148195160790
121ba1061b988
13b7a52583c5
145d4d3c9b3a
1532ee643c35
hex1ca41828b8

123012131000 has 128 divisors (see below), whose sum is σ = 314223399360. Its totient is φ = 44702208000.

The previous prime is 123012130987. The next prime is 123012131041. The reversal of 123012131000 is 131210321.

It is a super-2 number, since 2×1230121310002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23504384 + ... + 23509616.

Almost surely, 2123012131000 is an apocalyptic number.

123012131000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123012131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157111699680).

123012131000 is an abundant number, since it is smaller than the sum of its proper divisors (191211268360).

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

123012131000 is a wasteful number, since it uses less digits than its factorization.

123012131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7402 (or 7388 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 123012131000 its reverse (131210321), we get a palindrome (123143341321).

The spelling of 123012131000 in words is "one hundred twenty-three billion, twelve million, one hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2137 2200 2750 4274 5233 5500 8548 10466 10685 11000 17096 20932 21370 23507 26165 41864 42740 47014 52330 53425 57563 85480 94028 104660 106850 115126 117535 130825 188056 209320 213700 230252 235070 261650 267125 287815 427400 460504 470140 523300 534250 575630 587675 654125 940280 1046600 1068500 1151260 1175350 1308250 1439075 2137000 2302520 2350700 2616500 2878150 2938375 4701400 5233000 5756300 5876750 7195375 11182921 11512600 11753500 14390750 22365842 23507000 28781500 44731684 55914605 57563000 89463368 111829210 123012131 223658420 246024262 279573025 447316840 492048524 559146050 615060655 984097048 1118292100 1230121310 1397865125 2236584200 2460242620 2795730250 3075303275 4920485240 5591460500 6150606550 11182921000 12301213100 15376516375 24602426200 30753032750 61506065500 123012131000