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1122032132112 = 24323289496499
BaseRepresentation
bin10000010100111110010…
…100111010000000010000
310222021011100102001011210
4100110332110322000100
5121340410211211422
62215242054340120
7144031000521603
oct20247624720020
93867140361153
101122032132112
113a293a983a41
1216155a35a640
1381a6549a838
143c44161033a
151e2bed2a10c
hex1053e53a010

1122032132112 has 120 divisors (see below), whose sum is σ = 3064139820000. Its totient is φ = 353729007104.

The previous prime is 1122032132051. The next prime is 1122032132149. The reversal of 1122032132112 is 2112312302211.

It is a super-2 number, since 2×11220321321122 (a number of 25 digits) contains 22 as substring.

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, 2011639 + ... + 2508137.

It is an arithmetic number, because the mean of its divisors is an integer number (25534498500).

Almost surely, 21122032132112 is an apocalyptic number.

1122032132112 is a gapful number since it is divisible by the number (12) 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 1122032132112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532069910000).

1122032132112 is an abundant number, since it is smaller than the sum of its proper divisors (1942107687888).

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

1122032132112 is a wasteful number, since it uses less digits than its factorization.

1122032132112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496645 (or 496616 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 1122032132112 its reverse (2112312302211), we get a palindrome (3234344434323).

The spelling of 1122032132112 in words is "one trillion, one hundred twenty-two billion, thirty-two million, one hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 89 92 138 178 184 267 276 356 368 529 534 552 712 1058 1068 1104 1424 1587 2047 2116 2136 3174 4094 4232 4272 6141 6348 8188 8464 12282 12696 16376 24564 25392 32752 47081 49128 94162 98256 141243 188324 282486 376648 496499 564972 753296 992998 1129944 1489497 1985996 2259888 2978994 3971992 5957988 7943984 11419477 11915976 22838954 23831952 34258431 44188411 45677908 68516862 88376822 91355816 132565233 137033724 176753644 182711632 262647971 265130466 274067448 353507288 525295942 530260932 548134896 707014576 787943913 1016333453 1050591884 1060521864 1575887826 2032666906 2101183768 2121043728 3049000359 3151775652 4065333812 4202367536 6098000718 6303551304 8130667624 12196001436 12607102608 16261335248 23375669419 24392002872 46751338838 48784005744 70127008257 93502677676 140254016514 187005355352 280508033028 374010710704 561016066056 1122032132112