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20124440122320 = 243359316870427
BaseRepresentation
bin1001001001101100101100…
…00110101101001111010000
32122020212200211111200221000
410210312112012231033100
510114204323132403240
6110445012401502000
74144641246430212
oct444662606551720
978225624450830
1020124440122320
1164597aa895836
122310302341900
13b2c95a33b501
144d80571645b2
1524d739a4d430
hex124d961ad3d0

20124440122320 has 80 divisors (see below), whose sum is σ = 69317515984320. Its totient is φ = 5366517365376.

The previous prime is 20124440122301. The next prime is 20124440122333. The reversal of 20124440122320 is 2322104442102.

It is a happy number.

20124440122320 is a `hidden beast` number, since 2 + 0 + 1 + 24 + 4 + 401 + 2 + 232 + 0 = 666.

20124440122320 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4658433054 + ... + 4658437373.

It is an arithmetic number, because the mean of its divisors is an integer number (866468949804).

Almost surely, 220124440122320 is an apocalyptic number.

20124440122320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20124440122320 is an abundant number, since it is smaller than the sum of its proper divisors (49193075862000).

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

20124440122320 is a wasteful number, since it uses less digits than its factorization.

20124440122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9316870449 (or 9316870437 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 20124440122320 its reverse (2322104442102), we get a palindrome (22446544564422).

The spelling of 20124440122320 in words is "twenty trillion, one hundred twenty-four billion, four hundred forty million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 9316870427 18633740854 27950611281 37267481708 46584352135 55901222562 74534963416 83851833843 93168704270 111802445124 139753056405 149069926832 167703667686 186337408540 223604890248 251555501529 279506112810 335407335372 372674817080 419259169215 447209780496 503111003058 559012225620 670814670744 745349634160 838518338430 1006222006116 1118024451240 1257777507645 1341629341488 1677036676860 2012444012232 2236048902480 2515555015290 3354073353720 4024888024464 5031110030580 6708146707440 10062220061160 20124440122320