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211222122120020 = 225115411774677551
BaseRepresentation
bin110000000001101011111011…
…100011101100001101010100
31000200212122012212020120000202
4300001223323203230031110
5210141130401230320040
62025122034153000032
762330203043414654
oct6001537343541524
91020778185216022
10211222122120020
1161335887429680
121b8343193b3018
1390b2211c40c3b
143a232c332a364
15196458adc0015
hexc01afb8ec354

211222122120020 has 48 divisors (see below), whose sum is σ = 484785117524736. Its totient is φ = 76666070160000.

The previous prime is 211222122120019. The next prime is 211222122120041. The reversal of 211222122120020 is 20021221222112.

It is a super-2 number, since 2×2112221221200202 (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 = 211222122119974 and 211222122120001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 887219756 + ... + 887457795.

It is an arithmetic number, because the mean of its divisors is an integer number (10099689948432).

Almost surely, 2211222122120020 is an apocalyptic number.

211222122120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211222122120020 is an abundant number, since it is smaller than the sum of its proper divisors (273562995404716).

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

211222122120020 is a wasteful number, since it uses less digits than its factorization.

211222122120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1774678112 (or 1774678110 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 211222122120020 its reverse (20021221222112), we get a palindrome (231243343342132).

The spelling of 211222122120020 in words is "two hundred eleven trillion, two hundred twenty-two billion, one hundred twenty-two million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 541 1082 2164 2705 5410 5951 10820 11902 23804 29755 59510 119020 1774677551 3549355102 7098710204 8873387755 17746775510 19521453061 35493551020 39042906122 78085812244 97607265305 195214530610 390429061220 960100555091 1920201110182 3840402220364 4800502775455 9601005550910 10561106106001 19202011101820 21122212212002 42244424424004 52805530530005 105611061060010 211222122120020