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1022112201120 = 253516981125399
BaseRepresentation
bin11101101111110101010…
…00100111100110100000
310121201020202102121221220
432313322220213212200
5113221241210413440
62101315111415040
7133562615234463
oct16677250474640
93551222377856
101022112201120
1136452576697a
12146113384480
1375500443a0a
14376830732da
151b8c2b598d0
hexedfaa279a0

1022112201120 has 96 divisors (see below), whose sum is σ = 3219868713600. Its totient is φ = 272545029120.

The previous prime is 1022112201101. The next prime is 1022112201179. The reversal of 1022112201120 is 211022112201.

It is a tau number, because it is divible by the number of its divisors (96).

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 1022112201120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8088181 + ... + 8213579.

It is an arithmetic number, because the mean of its divisors is an integer number (33540299100).

Almost surely, 21022112201120 is an apocalyptic number.

1022112201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022112201120 is an abundant number, since it is smaller than the sum of its proper divisors (2197756512480).

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

1022112201120 is a wasteful number, since it uses less digits than its factorization.

1022112201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142398 (or 142390 counting only the distinct ones).

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

Adding to 1022112201120 its reverse (211022112201), we get a palindrome (1233134313321).

The spelling of 1022112201120 in words is "one trillion, twenty-two billion, one hundred twelve million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 16981 33962 50943 67924 84905 101886 125399 135848 169810 203772 250798 254715 271696 339620 376197 407544 501596 509430 543392 626995 679240 752394 815088 1003192 1018860 1253990 1358480 1504788 1630176 1880985 2006384 2037720 2507980 2716960 3009576 3761970 4012768 4075440 5015960 6019152 7523940 8150880 10031920 12038304 15047880 20063840 30095760 60191520 2129400419 4258800838 6388201257 8517601676 10647002095 12776402514 17035203352 21294004190 25552805028 31941006285 34070406704 42588008380 51105610056 63882012570 68140813408 85176016760 102211220112 127764025140 170352033520 204422440224 255528050280 340704067040 511056100560 1022112201120