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20122112200122 = 23215733592119783
BaseRepresentation
bin1001001001101000010110…
…10110011000110110111010
32122020122200121010000000100
410210310023112120312322
510114140041210400442
6110443545402220230
74144526461423062
oct444641326306672
978218617100010
1020122112200122
116458815833399
12230b9727b4676
13b2c678c6b05a
144d7cb5d083a2
1524d6504b384c
hex124d0b598dba

20122112200122 has 48 divisors (see below), whose sum is σ = 43888686266880. Its totient is φ = 6662661366816.

The previous prime is 20122112200067. The next prime is 20122112200129. The reversal of 20122112200122 is 22100221122102.

It is a happy number.

20122112200122 is a `hidden beast` number, since 201 + 221 + 1 + 220 + 0 + 1 + 22 = 666.

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 = 20122112200095 and 20122112200104.

It is not an unprimeable number, because it can be changed into a prime (20122112200129) 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, 8432643 + ... + 10552425.

It is an arithmetic number, because the mean of its divisors is an integer number (914347630560).

Almost surely, 220122112200122 is an apocalyptic number.

20122112200122 is an abundant number, since it is smaller than the sum of its proper divisors (23766574066758).

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

20122112200122 is a wasteful number, since it uses less digits than its factorization.

20122112200122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2123307 (or 2123304 counting only the distinct ones).

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

Adding to 20122112200122 its reverse (22100221122102), we get a palindrome (42222333322224).

The spelling of 20122112200122 in words is "twenty trillion, one hundred twenty-two billion, one hundred twelve million, two hundred thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 157 314 471 942 1413 2826 3359 6718 10077 20154 30231 60462 527363 1054726 1582089 2119783 3164178 4239566 4746267 6359349 9492534 12718698 19078047 38156094 332805931 665611862 998417793 1996835586 2995253379 5990506758 7120351097 14240702194 21361053291 42722106582 64083159873 128166319746 1117895122229 2235790244458 3353685366687 6707370733374 10061056100061 20122112200122