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122112221120000 = 2954381600691
BaseRepresentation
bin11011110000111101110111…
…100100000000011000000000
3121000100210222122110110010022
4123300331313210000120000
5112001141312101320000
61111413325133553012
734502213450364206
oct3360756744003000
9530323878413108
10122112221120000
11359aa5583aa471
12118421bb945768
13531a1963a5717
142222397abb076
15e1b64471a585
hex6f0f77900600

122112221120000 has 100 divisors (see below), whose sum is σ = 304884833682396. Its totient is φ = 48844888320000.

The previous prime is 122112221119937. The next prime is 122112221120033. The reversal of 122112221120000 is 21122211221.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×1221122211200002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 190480346 + ... + 191120345.

Almost surely, 2122112221120000 is an apocalyptic number.

122112221120000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122112221120000 is an abundant number, since it is smaller than the sum of its proper divisors (182772612562396).

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

122112221120000 is an frugal number, since it uses more digits than its factorization.

122112221120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381600729 (or 381600698 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 122112221120000 its reverse (21122211221), we get a palindrome (122133343331221).

It can be divided in two parts, 122112221 and 120000, that added together give a palindrome (122232221).

The spelling of 122112221120000 in words is "one hundred twenty-two trillion, one hundred twelve billion, two hundred twenty-one million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1250 1280 1600 2000 2500 2560 3200 4000 5000 6400 8000 10000 12800 16000 20000 32000 40000 64000 80000 160000 320000 381600691 763201382 1526402764 1908003455 3052805528 3816006910 6105611056 7632013820 9540017275 12211222112 15264027640 19080034550 24422444224 30528055280 38160069100 47700086375 48844888448 61056110560 76320138200 95400172750 97689776896 122112221120 152640276400 190800345500 195379553792 238500431875 244224442240 305280552800 381600691000 477000863750 488448884480 610561105600 763201382000 954001727500 976897768960 1221122211200 1526402764000 1908003455000 2442244422400 3052805528000 3816006910000 4884488844800 6105611056000 7632013820000 12211222112000 15264027640000 24422444224000 30528055280000 61056110560000 122112221120000