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120210001121112 = 233717152567275881
BaseRepresentation
bin11011010101010010010010…
…011010100100111101011000
3120202121222000122221022102220
4123111102102122210331120
5111224010040241333422
61103355413453424040
734214612614232520
oct3325222232447530
9522558018838386
10120210001121112
1135336858845761
121159560619b020
13520c9a6739696
1421982a34c6680
15dd6e10b09e5c
hex6d54926a4f58

120210001121112 has 128 divisors (see below), whose sum is σ = 363664209392640. Its totient is φ = 32325049405440.

The previous prime is 120210001121083. The next prime is 120210001121183. The reversal of 120210001121112 is 211121100012021.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 120210001121091 and 120210001121100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 435593412 + ... + 435869292.

It is an arithmetic number, because the mean of its divisors is an integer number (2841126635880).

Almost surely, 2120210001121112 is an apocalyptic number.

120210001121112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120210001121112 is an abundant number, since it is smaller than the sum of its proper divisors (243454208271528).

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

120210001121112 is a wasteful number, since it uses less digits than its factorization.

120210001121112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428481 (or 428477 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 120210001121112 its reverse (211121100012021), we get a palindrome (331331101133133).

The spelling of 120210001121112 in words is "one hundred twenty trillion, two hundred ten billion, one million, one hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 238 357 408 476 714 952 1428 2856 152567 275881 305134 457701 551762 610268 827643 915402 1067969 1103524 1220536 1655286 1830804 1931167 2135938 2207048 2593639 3203907 3310572 3661608 3862334 4271876 4689977 5187278 5793501 6407814 6621144 7724668 7780917 8543752 9379954 10374556 11587002 12815628 14069931 15449336 15561834 18155473 18759908 20749112 23174004 25631256 28139862 31123668 32829839 36310946 37519816 46348008 54466419 56279724 62247336 65659678 72621892 98489517 108932838 112559448 131319356 145243784 196979034 217865676 262638712 393958068 435731352 787916136 42090336527 84180673054 126271009581 168361346108 252542019162 294632355689 336722692216 505084038324 589264711378 715535720959 883897067067 1010168076648 1178529422756 1431071441918 1767794134134 2146607162877 2357058845512 2862142883836 3535588268268 4293214325754 5008750046713 5724285767672 7071176536536 8586428651508 10017500093426 15026250140139 17172857303016 20035000186852 30052500280278 40070000373704 60105000560556 120210001121112