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121120220022200 = 23527219361394393
BaseRepresentation
bin11011100010100001111111…
…101100001000010110111000
3120212211222110101101100122022
4123202201333230020112320
5111333413202311202300
61105333505543414012
734340434651233560
oct3342417754102670
9525758411340568
10121120220022200
1135657884672153
1211701ab0754308
135277784357409
1421ca36db33da0
15e00935334285
hex6e287fb085b8

121120220022200 has 96 divisors (see below), whose sum is σ = 321836010656160. Its totient is φ = 41526637977600.

The previous prime is 121120220022143. The next prime is 121120220022209. The reversal of 121120220022200 is 2220022021121.

It is a happy number.

It is a super-2 number, since 2×1211202200222002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121120220022209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 306908204 + ... + 307302596.

It is an arithmetic number, because the mean of its divisors is an integer number (3352458444335).

Almost surely, 2121120220022200 is an apocalyptic number.

121120220022200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121120220022200 is an abundant number, since it is smaller than the sum of its proper divisors (200715790633960).

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

121120220022200 is a wasteful number, since it uses less digits than its factorization.

121120220022200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613777 (or 613768 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 121120220022200 its reverse (2220022021121), we get a palindrome (123340242043321).

The spelling of 121120220022200 in words is "one hundred twenty-one trillion, one hundred twenty billion, two hundred twenty million, twenty-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 219361 394393 438722 788786 877444 1096805 1535527 1577572 1754888 1971965 2193610 2760751 3071054 3155144 3943930 4387220 5484025 5521502 6142108 7677635 7887860 8774440 9859825 10968050 11043004 12284216 13803755 15355270 15775720 19719650 21936100 22086008 27607510 30710540 38388175 39439300 43872200 55215020 61421080 69018775 76776350 78878600 110430040 138037550 153552700 276075100 307105400 552150200 86514442873 173028885746 346057771492 432572214365 605601100111 692115542984 865144428730 1211202200222 1730288857460 2162861071825 2422404400444 3028005500555 3460577714920 4325722143650 4844808800888 6056011001110 8651444287300 12112022002220 15140027502775 17302888574600 24224044004440 30280055005550 60560110011100 121120220022200