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112211122121020 = 225135935920375867
BaseRepresentation
bin11001100000111000110000…
…000100101110100100111100
3112201022021112000220121100201
4121200320300010232210330
5104201431334230333040
61034353024452333244
732430662132451466
oct3140706004564474
9481267460817321
10112211122121020
113283251911032a
1210703325914224
134a7c6041697a0
141d9d093a91136
15ce8d072c7a9a
hex660e3012e93c

112211122121020 has 96 divisors (see below), whose sum is σ = 258789824294400. Its totient is φ = 40616110235904.

The previous prime is 112211122121009. The next prime is 112211122121027. The reversal of 112211122121020 is 20121221112211.

It is a happy number.

112211122121020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112211122121027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4680874 + ... + 15694993.

It is an arithmetic number, because the mean of its divisors is an integer number (2695727336400).

Almost surely, 2112211122121020 is an apocalyptic number.

112211122121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112211122121020 is an abundant number, since it is smaller than the sum of its proper divisors (146578702173380).

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

112211122121020 is a wasteful number, since it uses less digits than its factorization.

112211122121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20376307 (or 20376305 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 112211122121020 its reverse (20121221112211), we get a palindrome (132332343233231).

The spelling of 112211122121020 in words is "one hundred twelve trillion, two hundred eleven billion, one hundred twenty-two million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 59 65 118 130 236 260 295 359 590 718 767 1180 1436 1534 1795 3068 3590 3835 4667 7180 7670 9334 15340 18668 21181 23335 42362 46670 84724 93340 105905 211810 275353 423620 550706 1101412 1376765 2753530 5507060 20375867 40751734 81503468 101879335 203758670 264886271 407517340 529772542 1059545084 1202176153 1324431355 2404352306 2648862710 4808704612 5297725420 6010880765 7314936253 12021761530 14629872506 15628289989 24043523060 29259745012 31256579978 36574681265 62513159956 73149362530 78141449945 95094171289 146298725060 156282899890 190188342578 312565799780 380376685156 431581238927 475470856445 863162477854 950941712890 1726324955708 1901883425780 2157906194635 4315812389270 5610556106051 8631624778540 11221112212102 22442224424204 28052780530255 56105561060510 112211122121020