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112221020122020 = 22325665099373921
BaseRepresentation
bin11001100001000001111110…
…000010100110101110100100
3112201100020001211202011011100
4121201001332002212232210
5104202112122122401040
61034401342553040100
732431462331204325
oct3141017602465644
9481306054664140
10112221020122020
1132836738298a47
12107052286b6030
134a80520993604
141d9d75246244c
15ce91d6238b30
hex66107e0a6ba4

112221020122020 has 72 divisors (see below), whose sum is σ = 340408915512120. Its totient is φ = 29925152225280.

The previous prime is 112221020121997. The next prime is 112221020122021. The reversal of 112221020122020 is 20221020122211.

It is a happy number.

112221020122020 is a `hidden beast` number, since 1 + 1 + 2 + 221 + 0 + 201 + 220 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 32251926930084 + 79969093191936 = 5679078^2 + 8942544^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112221020121984 and 112221020122002.

It is not an unprimeable number, because it can be changed into a prime (112221020122021) 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, 7284660 + ... + 16658580.

It is an arithmetic number, because the mean of its divisors is an integer number (4727901604335).

Almost surely, 2112221020122020 is an apocalyptic number.

112221020122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112221020122020 is an abundant number, since it is smaller than the sum of its proper divisors (228187895390100).

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

112221020122020 is a wasteful number, since it uses less digits than its factorization.

112221020122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9440445 (or 9440440 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 112221020122020 its reverse (20221020122211), we get a palindrome (132442040244231).

The spelling of 112221020122020 in words is "one hundred twelve trillion, two hundred twenty-one billion, twenty million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 66509 133018 199527 266036 332545 399054 598581 665090 798108 997635 1197162 1330180 1995270 2394324 2992905 3990540 5985810 9373921 11971620 18747842 28121763 37495684 46869605 56243526 84365289 93739210 112487052 140608815 168730578 187478420 281217630 337461156 421826445 562435260 843652890 1687305780 623450111789 1246900223578 1870350335367 2493800447156 3117250558945 3740700670734 5611051006101 6234501117890 7481401341468 9351751676835 11222102012202 12469002235780 18703503353670 22444204024404 28055255030505 37407006707340 56110510061010 112221020122020