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22012121112120 = 2332561144780867
BaseRepresentation
bin1010000000101000110001…
…01010001101111000111000
32212221100010120022122120100
411000110120222031320320
510341121311001041440
6114452121232355400
74431215611206156
oct500243052157070
985840116278510
1022012121112120
117017319570857
12257611a9a5b60
13c38970b05aa9
1456156c8543d6
152828bc059230
hex140518a8de38

22012121112120 has 48 divisors (see below), whose sum is σ = 71539393615560. Its totient is φ = 5869898963136.

The previous prime is 22012121112119. The next prime is 22012121112133. The reversal of 22012121112120 is 2121112121022.

22012121112120 is a `hidden beast` number, since 220 + 1 + 21 + 211 + 1 + 212 + 0 = 666.

It is a super-4 number, since 4×220121211121204 (a number of 54 digits) contains 4444 as substring. Note that it is a super-d number also for d = 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 = 22012121112093 and 22012121112102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30572390074 + ... + 30572390793.

Almost surely, 222012121112120 is an apocalyptic number.

22012121112120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22012121112120 is an abundant number, since it is smaller than the sum of its proper divisors (49527272503440).

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

22012121112120 is a wasteful number, since it uses less digits than its factorization.

22012121112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61144780884 (or 61144780877 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 22012121112120 its reverse (2121112121022), we get a palindrome (24133233233142).

The spelling of 22012121112120 in words is "twenty-two trillion, twelve billion, one hundred twenty-one million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 61144780867 122289561734 183434342601 244579123468 305723904335 366868685202 489158246936 550303027803 611447808670 733737370404 917171713005 1100606055606 1222895617340 1467474740808 1834343426010 2201212111212 2445791234680 2751515139015 3668686852020 4402424222424 5503030278030 7337373704040 11006060556060 22012121112120