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112020112211120 = 24517591396063213
BaseRepresentation
bin11001011110000110110110…
…111111101111110010110000
3112200122000111020001211001022
4121132012312333233302300
5104140314142211223440
61034125155031155012
732411120544142631
oct3136066677576260
9480560436054038
10112020112211120
113276950aa91963
12106922b8b15a68
134a675b353b069
141d93b33965888
15ce3d78223cb5
hex65e1b6fefcb0

112020112211120 has 80 divisors (see below), whose sum is σ = 280441178428320. Its totient is φ = 41457493143552.

The previous prime is 112020112211113. The next prime is 112020112211123. The reversal of 112020112211120 is 21112211020211.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1120201122111202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (112020112211123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 697951367 + ... + 698111846.

It is an arithmetic number, because the mean of its divisors is an integer number (3505514730354).

Almost surely, 2112020112211120 is an apocalyptic number.

112020112211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112020112211120 is an abundant number, since it is smaller than the sum of its proper divisors (168421066217200).

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

112020112211120 is a wasteful number, since it uses less digits than its factorization.

112020112211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396063302 (or 1396063296 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 112020112211120 its reverse (21112211020211), we get a palindrome (133132323231331).

The spelling of 112020112211120 in words is "one hundred twelve trillion, twenty billion, one hundred twelve million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 59 68 80 85 118 136 170 236 272 295 340 472 590 680 944 1003 1180 1360 2006 2360 4012 4720 5015 8024 10030 16048 20060 40120 80240 1396063213 2792126426 5584252852 6980316065 11168505704 13960632130 22337011408 23733074621 27921264260 47466149242 55842528520 82367729567 94932298484 111685057040 118665373105 164735459134 189864596968 237330746210 329470918268 379729193936 411838647835 474661492420 658941836536 823677295670 949322984840 1317883673072 1400251402639 1647354591340 1898645969680 2800502805278 3294709182680 5601005610556 6589418365360 7001257013195 11202011221112 14002514026390 22404022442224 28005028052780 56010056105560 112020112211120