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1132223121200 = 245253443120557
BaseRepresentation
bin10000011110011101110…
…000011100011100110000
311000020110120112221002002
4100132131300130130300
5122022243104334300
62224045222513132
7144541354511213
oct20363560343460
94006416487062
101132223121200
113a719a486976
121635232957a8
13829ca9089b2
143cb2ac8b77a
151e6b98625d5
hex1079dc1c730

1132223121200 has 120 divisors (see below), whose sum is σ = 2777769162288. Its totient is φ = 443337456640.

The previous prime is 1132223121199. The next prime is 1132223121203. The reversal of 1132223121200 is 21213222311.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1132223121203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9331322 + ... + 9451878.

Almost surely, 21132223121200 is an apocalyptic number.

1132223121200 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 1132223121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388884581144).

1132223121200 is an abundant number, since it is smaller than the sum of its proper divisors (1645546041088).

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

1132223121200 is a wasteful number, since it uses less digits than its factorization.

1132223121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121071 (or 121060 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1132223121200 its reverse (21213222311), we get a palindrome (1153436343511).

The spelling of 1132223121200 in words is "one trillion, one hundred thirty-two billion, two hundred twenty-three million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 53 80 100 106 200 212 265 400 424 443 530 848 886 1060 1325 1772 2120 2215 2650 3544 4240 4430 5300 7088 8860 10600 11075 17720 21200 22150 23479 35440 44300 46958 88600 93916 117395 120557 177200 187832 234790 241114 375664 469580 482228 586975 602785 939160 964456 1173950 1205570 1878320 1928912 2347900 2411140 3013925 4695800 4822280 6027850 6389521 9391600 9644560 12055700 12779042 24111400 25558084 31947605 48222800 51116168 53406751 63895210 102232336 106813502 127790420 159738025 213627004 255580840 267033755 319476050 427254008 511161680 534067510 638952100 854508016 1068135020 1277904200 1335168775 2136270040 2555808400 2670337550 2830557803 4272540080 5340675100 5661115606 10681350200 11322231212 14152789015 21362700400 22644462424 28305578030 45288924848 56611156060 70763945075 113222312120 141527890150 226444624240 283055780300 566111560600 1132223121200