Search a number
-
+
120121120212 = 22361895213539
BaseRepresentation
bin110111111011111000…
…1101101010111010100
3102111001110002011012020
41233313301231113110
53432002001321322
6131103300253140
711451466450362
oct1576761552724
9374043064166
10120121120212
1146a41271575
121b3443a11b0
13b434314132
145b57474632
1531d092d05c
hex1bf7c6d5d4

120121120212 has 96 divisors (see below), whose sum is σ = 288712771200. Its totient is φ = 38855731200.

The previous prime is 120121120201. The next prime is 120121120241. The reversal of 120121120212 is 212021121021.

It is a junction number, because it is equal to n+sod(n) for n = 120121120191 and 120121120200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33940339 + ... + 33943877.

It is an arithmetic number, because the mean of its divisors is an integer number (3007424700).

Almost surely, 2120121120212 is an apocalyptic number.

120121120212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120121120212 is an abundant number, since it is smaller than the sum of its proper divisors (168591650988).

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

120121120212 is a wasteful number, since it uses less digits than its factorization.

120121120212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4217 (or 4215 counting only the distinct ones).

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

Adding to 120121120212 its reverse (212021121021), we get a palindrome (332142241233).

The spelling of 120121120212 in words is "one hundred twenty billion, one hundred twenty-one million, one hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 61 89 122 178 183 244 267 356 366 521 534 732 1042 1068 1563 2084 3126 3539 5429 6252 7078 10617 10858 14156 16287 21234 21716 31781 32574 42468 46369 63562 65148 92738 95343 127124 139107 185476 190686 215879 278214 314971 381372 431758 556428 629942 647637 863516 944913 1259884 1295274 1843819 1889826 2590548 2828509 3687638 3779652 5531457 5657018 7375276 8485527 11062914 11314036 16971054 19213231 22125828 33942108 38426462 57639693 76852924 112472959 115279386 164099891 224945918 230558772 328199782 337418877 449891836 492299673 656399564 674837754 984599346 1349675508 1969198692 10010093351 20020186702 30030280053 40040373404 60060560106 120121120212