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21121110120 = 23351116000841
BaseRepresentation
bin10011101010111010…
…101001000001101000
32000111222002120012210
4103222322221001220
5321224001010440
613411454405120
71345254321345
oct235272510150
960458076183
1021121110120
118a59352710
1241155007a0
131cb7a3a0c6
14104515b7cc
158393c1a80
hex4eaea9068

21121110120 has 64 divisors (see below), whose sum is σ = 69123637440. Its totient is φ = 5120268800.

The previous prime is 21121110041. The next prime is 21121110161. The reversal of 21121110120 is 2101112112.

It is a super-2 number, since 2×211211101202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 21121110096 and 21121110105.

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, 7999101 + ... + 8001740.

It is an arithmetic number, because the mean of its divisors is an integer number (1080056835).

Almost surely, 221121110120 is an apocalyptic number.

21121110120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21121110120 is an abundant number, since it is smaller than the sum of its proper divisors (48002527320).

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

21121110120 is a wasteful number, since it uses less digits than its factorization.

21121110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16000866 (or 16000862 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 21121110120 its reverse (2101112112), we get a palindrome (23222222232).

The spelling of 21121110120 in words is "twenty-one billion, one hundred twenty-one million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 16000841 32001682 48002523 64003364 80004205 96005046 128006728 160008410 176009251 192010092 240012615 320016820 352018502 384020184 480025230 528027753 640033640 704037004 880046255 960050460 1056055506 1408074008 1760092510 1920100920 2112111012 2640138765 3520185020 4224222024 5280277530 7040370040 10560555060 21121110120