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1121122111120 = 245115921593261
BaseRepresentation
bin10000010100001000000…
…101011100111010010000
310222011210221001012001121
4100110020011130322100
5121332024230023440
62215011505412024
7143666310465304
oct20241005347220
93864727035047
101121122111120
113a2513227780
1216134563a014
138194baa5b8b
143c396805d04
151e269ebe34a
hex1050815ce90

1121122111120 has 80 divisors (see below), whose sum is σ = 2891769647040. Its totient is φ = 400770905600.

The previous prime is 1121122111097. The next prime is 1121122111127. The reversal of 1121122111120 is 211112211211.

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1121122111094 and 1121122111103.

It is not an unprimeable number, because it can be changed into a prime (1121122111127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10744711 + ... + 10848550.

It is an arithmetic number, because the mean of its divisors is an integer number (36147120588).

Almost surely, 21121122111120 is an apocalyptic number.

1121122111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1121122111120 is an abundant number, since it is smaller than the sum of its proper divisors (1770647535920).

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

1121122111120 is a wasteful number, since it uses less digits than its factorization.

1121122111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21593344 (or 21593338 counting only the distinct ones).

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

Adding to 1121122111120 its reverse (211112211211), we get a palindrome (1332234322331).

The spelling of 1121122111120 in words is "one trillion, one hundred twenty-one billion, one hundred twenty-two million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 59 80 88 110 118 176 220 236 295 440 472 590 649 880 944 1180 1298 2360 2596 3245 4720 5192 6490 10384 12980 25960 51920 21593261 43186522 86373044 107966305 172746088 215932610 237525871 345492176 431865220 475051742 863730440 950103484 1187629355 1274002399 1727460880 1900206968 2375258710 2548004798 3800413936 4750517420 5096009596 6370011995 9501034840 10192019192 12740023990 14014026389 19002069680 20384038384 25480047980 28028052778 50960095960 56056105556 70070131945 101920191920 112112211112 140140263890 224224422224 280280527780 560561055560 1121122111120