Search a number
-
+
121303122120000 = 26325429374367109
BaseRepresentation
bin11011100101001100010101…
…100000010000110101000000
3120220111110120010221121122200
4123211030111200100311000
5111344412243230320000
61105553515054233200
734356601306352322
oct3345142540206500
9526443503847580
10121303122120000
1135718402086367
12117314361b5800
13528bab22c54a2
1421d516112d612
15e0558c6e3500
hex6e5315810d40

121303122120000 has 3360 divisors, whose sum is σ = 483790385020800. Its totient is φ = 28970016768000.

The previous prime is 121303122119981. The next prime is 121303122120007. The reversal of 121303122120000 is 21221303121.

121303122120000 is a `hidden beast` number, since 1 + 2 + 130 + 312 + 21 + 200 + 0 + 0 = 666.

It is a super-3 number, since 3×1213031221200003 (a number of 43 digits) contains 333 as substring.

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 (121303122120007) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1112872679946 + ... + 1112872680054.

Almost surely, 2121303122120000 is an apocalyptic number.

121303122120000 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 121303122120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241895192510400).

121303122120000 is an abundant number, since it is smaller than the sum of its proper divisors (362487262900800).

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

121303122120000 is a wasteful number, since it uses less digits than its factorization.

121303122120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 121303122120000 its reverse (21221303121), we get a palindrome (121324343423121).

The spelling of 121303122120000 in words is "one hundred twenty-one trillion, three hundred three billion, one hundred twenty-two million, one hundred twenty thousand".