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1122002112120 = 233531547955049
BaseRepresentation
bin10000010100111100100…
…010011000111001111000
310222021002020220212111020
4100110330202120321320
5121340330020041440
62215235103102440
7144030154411011
oct20247442307170
93867066825436
101122002112120
113a2924a3a52a
121615502a1a20
1381a5c1b9726
143c43b638008
151e2bc39a3d0
hex1053c898e78

1122002112120 has 128 divisors (see below), whose sum is σ = 3475284480000. Its totient is φ = 289490826240.

The previous prime is 1122002112107. The next prime is 1122002112139. The reversal of 1122002112120 is 212112002211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1122002112120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20354356 + ... + 20409404.

It is an arithmetic number, because the mean of its divisors is an integer number (27150660000).

Almost surely, 21122002112120 is an apocalyptic number.

1122002112120 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 1122002112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1737642240000).

1122002112120 is an abundant number, since it is smaller than the sum of its proper divisors (2353282367880).

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

1122002112120 is a wasteful number, since it uses less digits than its factorization.

1122002112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60573 (or 60569 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1122002112120 its reverse (212112002211), we get a palindrome (1334114114331).

The spelling of 1122002112120 in words is "one trillion, one hundred twenty-two billion, two million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 5479 10958 16437 21916 27395 32874 43832 54790 55049 65748 82185 109580 110098 131496 164370 165147 169849 219160 220196 275245 328740 330294 339698 440392 509547 550490 657480 660588 679396 825735 849245 1019094 1100980 1321176 1358792 1651470 1698490 1706519 2038188 2201960 2547735 3302940 3396980 3413038 4076376 5095470 5119557 6605880 6793960 6826076 8532595 10190940 10239114 13652152 17065190 20381880 20478228 25597785 34130380 40956456 51195570 68260760 102391140 204782280 301613471 603226942 904840413 1206453884 1508067355 1809680826 2412907768 3016134710 3619361652 4524202065 6032269420 7238723304 9048404130 9350017601 12064538840 18096808260 18700035202 28050052803 36193616520 37400070404 46750088005 56100105606 74800140808 93500176010 112200211212 140250264015 187000352020 224400422424 280500528030 374000704040 561001056060 1122002112120