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121021020221112 = 2332111198712747503
BaseRepresentation
bin11011100001000101100110…
…111010111010111010111000
3120212111111101222110022221100
4123201011212322322322320
5111330302022134033422
61105220142243411400
734330323461650524
oct3341054672727270
9525444358408840
10121021020221112
11356197a99a3370
12116a6826983b60
13526b30556a26b
1421c563d090d84
15ded07b4b07ac
hex6e1166ebaeb8

121021020221112 has 96 divisors (see below), whose sum is σ = 357591962407680. Its totient is φ = 36669974153280.

The previous prime is 121021020221107. The next prime is 121021020221117. The reversal of 121021020221112 is 211122020120121.

121021020221112 is a `hidden beast` number, since 1 + 210 + 210 + 20 + 2 + 211 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (121021020221107) and next prime (121021020221117).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121021020221117) 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, 3119953 + ... + 15867455.

It is an arithmetic number, because the mean of its divisors is an integer number (3724916275080).

Almost surely, 2121021020221112 is an apocalyptic number.

121021020221112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121021020221112 is an abundant number, since it is smaller than the sum of its proper divisors (236570942186568).

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

121021020221112 is a wasteful number, since it uses less digits than its factorization.

121021020221112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12759513 (or 12759506 counting only the distinct ones).

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

Adding to 121021020221112 its reverse (211122020120121), we get a palindrome (332143040341233).

The spelling of 121021020221112 in words is "one hundred twenty-one trillion, twenty-one billion, twenty million, two hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 11987 23974 35961 47948 71922 95896 107883 131857 143844 215766 263714 287688 395571 431532 527428 791142 863064 1054856 1186713 1582284 2373426 3164568 4746852 9493704 12747503 25495006 38242509 50990012 76485018 101980024 114727527 140222533 152970036 229455054 280445066 305940072 420667599 458910108 560890132 841335198 917820216 1121780264 1262002797 1682670396 2524005594 3365340792 5048011188 10096022376 152804318461 305608636922 458412955383 611217273844 916825910766 1222434547688 1375238866149 1680847503071 1833651821532 2750477732298 3361695006142 3667303643064 5042542509213 5500955464596 6723390012284 10085085018426 11001910929192 13446780024568 15127627527639 20170170036852 30255255055278 40340340073704 60510510110556 121021020221112