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211221211201220 = 225111516358254401
BaseRepresentation
bin110000000001101011000101…
…010000110011111011000100
31000200212112212101012002100102
4300001223011100303323010
5210141122020031414340
62025121403532503232
762330141342632013
oct6001530520637304
91020775771162312
10211221211201220
116133545a219920
121b83410431ab18
1390b20c82c372c
143a2323836aa7a
151964535e38215
hexc01ac5433ec4

211221211201220 has 48 divisors (see below), whose sum is σ = 487093153228416. Its totient is φ = 76299052800000.

The previous prime is 211221211201219. The next prime is 211221211201237. The reversal of 211221211201220 is 22102112122112.

It is a super-2 number, since 2×2112212112012202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 211221211201192 and 211221211201201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3179093981 + ... + 3179160420.

It is an arithmetic number, because the mean of its divisors is an integer number (10147774025592).

Almost surely, 2211221211201220 is an apocalyptic number.

211221211201220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211221211201220 is an abundant number, since it is smaller than the sum of its proper divisors (275871942027196).

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

211221211201220 is a wasteful number, since it uses less digits than its factorization.

211221211201220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6358254572 (or 6358254570 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 211221211201220 its reverse (22102112122112), we get a palindrome (233323323323332).

The spelling of 211221211201220 in words is "two hundred eleven trillion, two hundred twenty-one billion, two hundred eleven million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 151 220 302 604 755 1510 1661 3020 3322 6644 8305 16610 33220 6358254401 12716508802 25433017604 31791272005 63582544010 69940798411 127165088020 139881596822 279763193644 349703992055 699407984110 960096414551 1398815968220 1920192829102 3840385658204 4800482072755 9600964145510 10561060560061 19201928291020 21122121120122 42244242240244 52805302800305 105610605600610 211221211201220