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20231212400200 = 23522925367137507
BaseRepresentation
bin1001001100110011100100…
…01110100111111001001000
32122122002021222101101221101
410212121302032213321020
510122432010333301300
6111010031330151144
74155441206010124
oct446316216477110
978562258341841
1020231212400200
1164a0010a784aa
122328b401224b4
13b39a44c11669
144dd2a57c4584
152513d85bdb6a
hex1266723a7e48

20231212400200 has 96 divisors (see below), whose sum is σ = 48661826068800. Its totient is φ = 7813068919040.

The previous prime is 20231212400131. The next prime is 20231212400227. The reversal of 20231212400200 is 200421213202.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147059847 + ... + 147197353.

It is an arithmetic number, because the mean of its divisors is an integer number (506894021550).

Almost surely, 220231212400200 is an apocalyptic number.

20231212400200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20231212400200 is an abundant number, since it is smaller than the sum of its proper divisors (28430613668600).

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

20231212400200 is a wasteful number, since it uses less digits than its factorization.

20231212400200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162919 (or 162910 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 20231212400200 its reverse (200421213202), we get a palindrome (20431633613402).

The spelling of 20231212400200 in words is "twenty trillion, two hundred thirty-one billion, two hundred twelve million, four hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 580 725 1160 1450 2900 5800 25367 50734 101468 126835 137507 202936 253670 275014 507340 550028 634175 687535 735643 1014680 1100056 1268350 1375070 1471286 2536700 2750140 2942572 3437675 3678215 3987703 5073400 5500280 5885144 6875350 7356430 7975406 13750700 14712860 15950812 18391075 19938515 27501400 29425720 31901624 36782150 39877030 73564300 79754060 99692575 147128600 159508120 199385150 398770300 797540600 3488140069 6976280138 13952560276 17440700345 27905120552 34881400690 69762801380 87203501725 101156062001 139525602760 174407003450 202312124002 348814006900 404624248004 505780310005 697628013800 809248496008 1011560620010 2023121240020 2528901550025 4046242480040 5057803100050 10115606200100 20231212400200