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20122112000112 = 2431087619962213
BaseRepresentation
bin1001001001101000010110…
…10101101000000001110000
32122020122200120201211122120
410210310023111220001300
510114140041133000422
6110443545354034240
74144526456631003
oct444641325500160
978218616654576
1020122112000112
1164588157070a1
12230b972718980
13b2c678bcacc5
144d7cb5c9553a
1524d65047445c
hex124d0b568070

20122112000112 has 80 divisors (see below), whose sum is σ = 52039174041600. Its totient is φ = 6700011422976.

The previous prime is 20122112000083. The next prime is 20122112000129. The reversal of 20122112000112 is 21100021122102.

It is a junction number, because it is equal to n+sod(n) for n = 20122112000091 and 20122112000100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 323407918 + ... + 323470130.

It is an arithmetic number, because the mean of its divisors is an integer number (650489675520).

Almost surely, 220122112000112 is an apocalyptic number.

It is an amenable number.

20122112000112 is an abundant number, since it is smaller than the sum of its proper divisors (31917062041488).

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

20122112000112 is a wasteful number, since it uses less digits than its factorization.

20122112000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69510 (or 69504 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 20122112000112 its reverse (21100021122102), we get a palindrome (41222133122214).

The spelling of 20122112000112 in words is "twenty trillion, one hundred twenty-two billion, one hundred twelve million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 48 1087 2174 3261 4348 6199 6522 8696 12398 13044 17392 18597 24796 26088 37194 49592 52176 62213 74388 99184 124426 148776 186639 248852 297552 373278 497704 746556 995408 1493112 2986224 6738313 13476626 20214939 26953252 40429878 53906504 67625531 80859756 107813008 135251062 161719512 202876593 270502124 323439024 385658387 405753186 541004248 771316774 811506372 1082008496 1156975161 1542633548 1623012744 2313950322 3085267096 3246025488 4627900644 6170534192 9255801288 18511602576 419210666669 838421333338 1257632000007 1676842666676 2515264000014 3353685333352 5030528000028 6707370666704 10061056000056 20122112000112