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20123124424000 = 265313193491581
BaseRepresentation
bin1001001001101010001111…
…01011101101110101000000
32122020202022010210022010121
410210311013223231311000
510114144124323032000
6110444234041510024
74144563532245103
oct444650753556500
978222263708117
1020123124424000
116459195146154
12230bbb57a2314
13b2c7aa8980b0
144d7d7051873a
1524d6ae2abb1a
hex124d47aedd40

20123124424000 has 112 divisors (see below), whose sum is σ = 53668373116176. Its totient is φ = 7430076672000.

The previous prime is 20123124423989. The next prime is 20123124424001. The reversal of 20123124424000 is 42442132102.

It can be written as a sum of positive squares in 8 ways, for example, as 3232602627136 + 16890521796864 = 1797944^2 + 4109808^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20123124424001) 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, 96641791 + ... + 96849790.

It is an arithmetic number, because the mean of its divisors is an integer number (479181902823).

Almost surely, 220123124424000 is an apocalyptic number.

20123124424000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20123124424000 is an abundant number, since it is smaller than the sum of its proper divisors (33545248692176).

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

20123124424000 is a wasteful number, since it uses less digits than its factorization.

20123124424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193491621 (or 193491601 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 20123124424000 its reverse (42442132102), we get a palindrome (20165566556102).

The spelling of 20123124424000 in words is "twenty trillion, one hundred twenty-three billion, one hundred twenty-four million, four hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 125 130 160 200 208 250 260 320 325 400 416 500 520 650 800 832 1000 1040 1300 1600 1625 2000 2080 2600 3250 4000 4160 5200 6500 8000 10400 13000 20800 26000 52000 104000 193491581 386983162 773966324 967457905 1547932648 1934915810 2515390553 3095865296 3869831620 4837289525 5030781106 6191730592 7739663240 9674579050 10061562212 12383461184 12576952765 15479326480 19349158100 20123124424 24186447625 25153905530 30958652960 38698316200 40246248848 48372895250 50307811060 61917305920 62884763825 77396632400 80492497696 96745790500 100615622120 125769527650 154793264800 160984995392 193491581000 201231244240 251539055300 309586529600 314423819125 386983162000 402462488480 503078110600 628847638250 773966324000 804924976960 1006156221200 1257695276500 1547932648000 2012312442400 2515390553000 4024624884800 5030781106000 10061562212000 20123124424000