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112021022000120 = 23517210219491087
BaseRepresentation
bin11001011110000111101101…
…001110010100001111111000
3112200122002211121222212221012
4121132013231032110033320
5104140323023113000440
61034125425211133052
732411152232211662
oct3136075516241770
9480562747885835
10112021022000120
113276993759a8a2
1210692511744188
134a676c9b8124c
141d93bbc70d532
15ce3dcd035e65
hex65e1ed3943f8

112021022000120 has 96 divisors (see below), whose sum is σ = 268008014191680. Its totient is φ = 42131310397440.

The previous prime is 112021022000099. The next prime is 112021022000161. The reversal of 112021022000120 is 21000220120211.

It is a junction number, because it is equal to n+sod(n) for n = 112021022000095 and 112021022000104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7057217 + ... + 16548303.

It is an arithmetic number, because the mean of its divisors is an integer number (2791750147830).

Almost surely, 2112021022000120 is an apocalyptic number.

112021022000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112021022000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134004007095840).

112021022000120 is an abundant number, since it is smaller than the sum of its proper divisors (155986992191560).

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

112021022000120 is a wasteful number, since it uses less digits than its factorization.

112021022000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9492153 (or 9492132 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 112021022000120 its reverse (21000220120211), we get a palindrome (133021242120331).

The spelling of 112021022000120 in words is "one hundred twelve trillion, twenty-one billion, twenty-two million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 289 340 578 680 1021 1156 1445 2042 2312 2890 4084 5105 5780 8168 10210 11560 17357 20420 34714 40840 69428 86785 138856 173570 295069 347140 590138 694280 1180276 1475345 2360552 2950690 5901380 9491087 11802760 18982174 37964348 47455435 75928696 94910870 161348479 189821740 322696958 379643480 645393916 806742395 1290787832 1613484790 2742924143 3226969580 5485848286 6453939160 9690399827 10971696572 13714620715 19380799654 21943393144 27429241430 38761599308 48451999135 54858482860 77523198616 96903998270 109716965720 164736797059 193807996540 329473594118 387615993080 658947188236 823683985295 1317894376472 1647367970590 2800525550003 3294735941180 5601051100006 6589471882360 11202102200012 14002627750015 22404204400024 28005255500030 56010511000060 112021022000120