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12122110022112 = 253314030219933
BaseRepresentation
bin1011000001100110011000…
…0011111101000111100000
31120220212021200121221111000
42300121212003331013200
53042102040131201422
641440453115352000
72360536121042616
oct260314603750740
946825250557430
1012122110022112
113953a5a0a2852
12143941a152600
1369c157a9373c
142dc9db25d6b6
151604cd26ccac
hexb06660fd1e0

12122110022112 has 48 divisors (see below), whose sum is σ = 35356154233680. Its totient is φ = 4040703340416.

The previous prime is 12122110022081. The next prime is 12122110022131. The reversal of 12122110022112 is 21122001122121.

12122110022112 is a `hidden beast` number, since 121 + 221 + 100 + 221 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7015109103 + ... + 7015110830.

It is an arithmetic number, because the mean of its divisors is an integer number (736586546535).

Almost surely, 212122110022112 is an apocalyptic number.

12122110022112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12122110022112 is an abundant number, since it is smaller than the sum of its proper divisors (23234044211568).

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

12122110022112 is a wasteful number, since it uses less digits than its factorization.

12122110022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14030219952 (or 14030219938 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 12122110022112 its reverse (21122001122121), we get a palindrome (33244111144233).

The spelling of 12122110022112 in words is "twelve trillion, one hundred twenty-two billion, one hundred ten million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 14030219933 28060439866 42090659799 56120879732 84181319598 112241759464 126271979397 168362639196 224483518928 252543958794 336725278392 378815938191 448967037856 505087917588 673450556784 757631876382 1010175835176 1346901113568 1515263752764 2020351670352 3030527505528 4040703340704 6061055011056 12122110022112