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1121120222200 = 235211727700963
BaseRepresentation
bin10000010100000111111…
…110001111101111111000
310222011210210111012221121
4100110013332033233320
5121332023234102300
62215011401115024
7143666255440246
oct20240776175770
93864723435847
101121120222200
113a2512157590
12161344a88a74
138194b594184
143c396473796
151e269c4981a
hex10507f8fbf8

1121120222200 has 96 divisors (see below), whose sum is σ = 2847483999360. Its totient is φ = 407118729600.

The previous prime is 1121120222149. The next prime is 1121120222207. The reversal of 1121120222200 is 22220211211.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121120222207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1248919 + ... + 1949881.

It is an arithmetic number, because the mean of its divisors is an integer number (29661291660).

Almost surely, 21121120222200 is an apocalyptic number.

1121120222200 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 1121120222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423741999680).

1121120222200 is an abundant number, since it is smaller than the sum of its proper divisors (1726363777160).

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

1121120222200 is a wasteful number, since it uses less digits than its factorization.

1121120222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701717 (or 701708 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1121120222200 its reverse (22220211211), we get a palindrome (1143340433411).

The spelling of 1121120222200 in words is "one trillion, one hundred twenty-one billion, one hundred twenty million, two hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 727 1100 1454 2200 2908 3635 5816 7270 7997 14540 15994 18175 29080 31988 36350 39985 63976 72700 79970 145400 159940 199925 319880 399850 700963 799700 1401926 1599400 2803852 3504815 5607704 7009630 7710593 14019260 15421186 17524075 28038520 30842372 35048150 38552965 61684744 70096300 77105930 140192600 154211860 192764825 308423720 385529650 509600101 771059300 1019200202 1542118600 2038400404 2548000505 4076800808 5096001010 5605601111 10192002020 11211202222 12740002525 20384004040 22422404444 25480005050 28028005555 44844808888 50960010100 56056011110 101920020200 112112022220 140140027775 224224044440 280280055550 560560111100 1121120222200