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12042023104040 = 2356711034073701
BaseRepresentation
bin1010111100111100000010…
…0000100110111000101000
31120122012120021221222022012
42233033000200212320220
53034244030403312130
641340010135015052
72352002362342556
oct257170040467050
946565507858265
1012042023104040
113922aa211a956
1214259a920a488
13694733948717
142d8ba0b3abd6
1515d392330995
hexaf3c0826e28

12042023104040 has 64 divisors (see below), whose sum is σ = 27523886088960. Its totient is φ = 4740613574400.

The previous prime is 12042023104009. The next prime is 12042023104147. The reversal of 12042023104040 is 4040132024021.

It is a junction number, because it is equal to n+sod(n) for n = 12042023103997 and 12042023104015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 919190 + ... + 4992890.

It is an arithmetic number, because the mean of its divisors is an integer number (430060720140).

Almost surely, 212042023104040 is an apocalyptic number.

12042023104040 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 12042023104040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13761943044480).

12042023104040 is an abundant number, since it is smaller than the sum of its proper divisors (15481862984920).

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

12042023104040 is a wasteful number, since it uses less digits than its factorization.

12042023104040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4074882 (or 4074878 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 12042023104040 its reverse (4040132024021), we get a palindrome (16082155128061).

The spelling of 12042023104040 in words is "twelve trillion, forty-two billion, twenty-three million, one hundred four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 67 134 268 335 536 670 1103 1340 2206 2680 4412 5515 8824 11030 22060 44120 73901 147802 295604 369505 591208 739010 1478020 2956040 4073701 8147402 16294804 20368505 32589608 40737010 81474020 162948040 272937967 545875934 1091751868 1364689835 2183503736 2729379670 4493292203 5458759340 8986584406 10917518680 17973168812 22466461015 35946337624 44932922030 89865844060 179731688120 301050577601 602101155202 1204202310404 1505252888005 2408404620808 3010505776010 6021011552020 12042023104040