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1122120012200 = 2352114211211531
BaseRepresentation
bin10000010101000011100…
…100001001000110101000
310222021101110202210222212
4100111003210021012220
5121341100210342300
62215254514104252
7144033115505015
oct20250344110650
93867343683885
101122120012200
113a2985547610
1216158387b088
1381a7a7598a5
143c44d16870c
151e2c78d8935
hex105439091a8

1122120012200 has 96 divisors (see below), whose sum is σ = 2852867092320. Its totient is φ = 407074080000.

The previous prime is 1122120012193. The next prime is 1122120012217. The reversal of 1122120012200 is 22100212211.

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, 320435 + ... + 1531965.

It is an arithmetic number, because the mean of its divisors is an integer number (29717365545).

Almost surely, 21122120012200 is an apocalyptic number.

1122120012200 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 1122120012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1426433546160).

1122120012200 is an abundant number, since it is smaller than the sum of its proper divisors (1730747080120).

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

1122120012200 is a wasteful number, since it uses less digits than its factorization.

1122120012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211979 (or 1211970 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1122120012200 its reverse (22100212211), we get a palindrome (1144220224411).

The spelling of 1122120012200 in words is "one trillion, one hundred twenty-two billion, one hundred twenty million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 421 440 550 842 1100 1684 2105 2200 3368 4210 4631 8420 9262 10525 16840 18524 21050 23155 37048 42100 46310 84200 92620 115775 185240 231550 463100 926200 1211531 2423062 4846124 6057655 9692248 12115310 13326841 24230620 26653682 30288275 48461240 53307364 60576550 66634205 106614728 121153100 133268410 242306200 266536820 333171025 510054551 533073640 666342050 1020109102 1332684100 2040218204 2550272755 2665368200 4080436408 5100545510 5610600061 10201091020 11221200122 12751363775 20402182040 22442400244 25502727550 28053000305 44884800488 51005455100 56106000610 102010910200 112212001220 140265001525 224424002440 280530003050 561060006100 1122120012200