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120212122212 = 223271337991751
BaseRepresentation
bin110111111110100110…
…0110110101001100100
3102111021210022112110200
41233331030312221210
53432143300402322
6131120310550500
711453653115340
oct1577514665144
9374253275420
10120212122212
1146a88677736
121b36a968430
13b44a127180
145b655a2620
1531d89068ac
hex1bfd336a64

120212122212 has 144 divisors (see below), whose sum is σ = 384101582592. Its totient is φ = 30847392000.

The previous prime is 120212122187. The next prime is 120212122229. The reversal of 120212122212 is 212221212021.

It is a happy number.

120212122212 is a `hidden beast` number, since 120 + 212 + 122 + 212 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 374664 + ... + 617087.

Almost surely, 2120212122212 is an apocalyptic number.

120212122212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120212122212 is an abundant number, since it is smaller than the sum of its proper divisors (263889460380).

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

120212122212 is a wasteful number, since it uses less digits than its factorization.

120212122212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991818 (or 991813 counting only the distinct ones).

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

Adding to 120212122212 its reverse (212221212021), we get a palindrome (332433334233).

The spelling of 120212122212 in words is "one hundred twenty billion, two hundred twelve million, one hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 37 39 42 52 63 74 78 84 91 111 117 126 148 156 182 222 234 252 259 273 333 364 444 468 481 518 546 666 777 819 962 1036 1092 1332 1443 1554 1638 1924 2331 2886 3108 3276 3367 4329 4662 5772 6734 8658 9324 10101 13468 17316 20202 30303 40404 60606 121212 991751 1983502 2975253 3967004 5950506 6942257 8925759 11901012 12892763 13884514 17851518 20826771 25785526 27769028 35703036 36694787 38678289 41653542 51571052 62480313 73389574 77356578 83307084 90249341 110084361 116034867 124960626 146779148 154713156 180498682 220168722 232069734 249921252 256863509 270748023 330253083 360997364 440337444 464139468 477032231 513727018 541496046 660506166 770590527 812244069 954064462 1027454036 1082992092 1321012332 1431096693 1541181054 1624488138 1908128924 2311771581 2862193386 3082362108 3248976276 3339225617 4293290079 4623543162 5724386772 6678451234 8586580158 9247086324 10017676851 13356902468 17173160316 20035353702 30053030553 40070707404 60106061106 120212122212