Search a number
-
+
121413000000 = 2635640471
BaseRepresentation
bin111000100010011000…
…1110101101101000000
3102121101110222110002210
41301010301311231000
53442123212000000
6131435405542120
711525504320635
oct1610461655500
9377343873083
10121413000000
1147544522a16
121b644b74940
13b5abb68046
145c3ac8018c
153259067350
hex1c44c75b40

121413000000 has 196 divisors, whose sum is σ = 401552985056. Its totient is φ = 32376000000.

The previous prime is 121412999999. The next prime is 121413000019. The reversal of 121413000000 is 314121.

It is a happy number.

It is a super-2 number, since 2×1214130000002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 121413000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2979765 + ... + 3020235.

Almost surely, 2121413000000 is an apocalyptic number.

121413000000 is a gapful number since it is divisible by the number (10) 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 121413000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200776492528).

121413000000 is an abundant number, since it is smaller than the sum of its proper divisors (280139985056).

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

121413000000 is an frugal number, since it uses more digits than its factorization.

121413000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40516 (or 40481 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 121413000000 its reverse (314121), we get a palindrome (121413314121).

The spelling of 121413000000 in words is "one hundred twenty-one billion, four hundred thirteen million", and thus it is an aban number.