Search a number
-
+
121201121021112 = 2332112911094758301
BaseRepresentation
bin11011100011101101010101…
…110000111100110010111000
3120220010201021111212220210100
4123203231111300330302320
5111341224343440133422
61105435005404515400
734346330523334266
oct3343552560746270
9526121244786710
10121201121021112
113568911a123030
121171570a24bb60
1352822a8045482
1421d0246409436
15e02abc97a7ac
hex6e3b55c3ccb8

121201121021112 has 192 divisors, whose sum is σ = 370776408444000. Its totient is φ = 35429159808000.

The previous prime is 121201121021107. The next prime is 121201121021177. The reversal of 121201121021112 is 211120121102121.

It is a happy number.

121201121021112 is a `hidden beast` number, since 121 + 201 + 1 + 210 + 21 + 112 = 666.

121201121021112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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, 23092362 + ... + 27850662.

Almost surely, 2121201121021112 is an apocalyptic number.

121201121021112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121201121021112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185388204222000).

121201121021112 is an abundant number, since it is smaller than the sum of its proper divisors (249575287422888).

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

121201121021112 is a wasteful number, since it uses less digits than its factorization.

121201121021112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4759462 (or 4759455 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 121201121021112 its reverse (211120121102121), we get a palindrome (332321242123233).

The spelling of 121201121021112 in words is "one hundred twenty-one trillion, two hundred one billion, one hundred twenty-one million, twenty-one thousand, one hundred twelve".