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21121022012200 = 23521126479362569
BaseRepresentation
bin1001100110101100111110…
…00000111010101100101000
32202210011001100011010210221
410303112133000322230220
510232021323113342300
6112530510310215424
74306641420633505
oct463263700725450
982704040133727
1021121022012200
116803414335a30
12245148b654574
13ba291c410086
145303976484ac
1526961618131a
hex13359f03ab28

21121022012200 has 96 divisors (see below), whose sum is σ = 53572763088000. Its totient is φ = 7680060403200.

The previous prime is 21121022012183. The next prime is 21121022012203. The reversal of 21121022012200 is 221022012112.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (21121022012203) 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, 58072516 + ... + 58435084.

It is an arithmetic number, because the mean of its divisors is an integer number (558049615500).

Almost surely, 221121022012200 is an apocalyptic number.

21121022012200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21121022012200 is an abundant number, since it is smaller than the sum of its proper divisors (32451741075800).

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

21121022012200 is a wasteful number, since it uses less digits than its factorization.

21121022012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389075 (or 389066 counting only the distinct ones).

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

Adding to 21121022012200 its reverse (221022012112), we get a palindrome (21342044024312).

The spelling of 21121022012200 in words is "twenty-one trillion, one hundred twenty-one billion, twenty-two million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 26479 52958 105916 132395 211832 264790 291269 362569 529580 582538 661975 725138 1059160 1165076 1323950 1450276 1456345 1812845 2330152 2647900 2900552 2912690 3625690 3988259 5295800 5825380 7251380 7281725 7976518 9064225 11650760 14502760 14563450 15953036 18128450 19941295 29126900 31906072 36256900 39882590 58253800 72513800 79765180 99706475 159530360 199412950 398825900 797651800 9600464551 19200929102 38401858204 48002322755 76803716408 96004645510 105605110061 192009291020 211210220122 240011613775 384018582040 422420440244 480023227550 528025550305 844840880488 960046455100 1056051100610 1920092910200 2112102201220 2640127751525 4224204402440 5280255503050 10560511006100 21121022012200