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20123331201200 = 24521923011115067
BaseRepresentation
bin1001001001101010101000…
…00000100000100010110000
32122020202211112212200010102
410210311110000200202300
510114200040241414300
6110444310345451532
74144601622650063
oct444652400404260
978222745780112
1020123331201200
1164592909379a7
122310052aa0ba8
13b2c811686076
144d7d8db828da
1524d6c25040d5
hex124d540208b0

20123331201200 has 120 divisors (see below), whose sum is σ = 50893499363520. Its totient is φ = 7625285740800.

The previous prime is 20123331201191. The next prime is 20123331201203. The reversal of 20123331201200 is 210213332102.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (20123331201203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174826067 + ... + 174941133.

It is an arithmetic number, because the mean of its divisors is an integer number (424112494696).

Almost surely, 220123331201200 is an apocalyptic number.

20123331201200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20123331201200 is an abundant number, since it is smaller than the sum of its proper divisors (30770168162320).

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

20123331201200 is a wasteful number, since it uses less digits than its factorization.

20123331201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138115 (or 138104 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 20123331201200 its reverse (210213332102), we get a palindrome (20333544533302).

The spelling of 20123331201200 in words is "twenty trillion, one hundred twenty-three billion, three hundred thirty-one million, two hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 152 190 200 304 380 400 475 760 950 1520 1900 3800 7600 23011 46022 92044 115055 115067 184088 230110 230134 368176 437209 460220 460268 575275 575335 874418 920440 920536 1150550 1150670 1748836 1840880 1841072 2186045 2186273 2301100 2301340 2876675 3497672 4372090 4372546 4602200 4602680 5753350 6995344 8744180 8745092 9204400 9205360 10930225 10931365 11506700 17488360 17490184 21860450 21862730 23013400 34976720 34980368 43720900 43725460 46026800 54656825 87441800 87450920 109313650 174883600 174901840 218627300 437254600 874509200 2647806737 5295613474 10591226948 13239033685 21182453896 26478067370 42364907792 50308328003 52956134740 66195168425 100616656006 105912269480 132390336850 201233312012 211824538960 251541640015 264780673700 402466624024 503083280030 529561347400 804933248048 1006166560060 1059122694800 1257708200075 2012333120120 2515416400150 4024666240240 5030832800300 10061665600600 20123331201200