Search a number
-
+
121103031120000 = 2735411318124671
BaseRepresentation
bin11011100010010001111111…
…001001101011000010000000
3120212210100002110102122121220
4123202101333021223002000
5111333123001431320000
61105321544153515040
734336256002046226
oct3342217711530200
9525710073378556
10121103031120000
1135650563a10556
12116ba6b4112a80
135275c75194177
1421c95bcd20b16
15e0027b2961a0
hex6e247f26b080

121103031120000 has 640 divisors, whose sum is σ = 407785520862720. Its totient is φ = 31830220800000.

The previous prime is 121103031119969. The next prime is 121103031120037. The reversal of 121103031120000 is 21130301121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4908707665 + ... + 4908732335.

It is an arithmetic number, because the mean of its divisors is an integer number (637164876348).

Almost surely, 2121103031120000 is an apocalyptic number.

121103031120000 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 121103031120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203892760431360).

121103031120000 is an abundant number, since it is smaller than the sum of its proper divisors (286682489742720).

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

121103031120000 is a wasteful number, since it uses less digits than its factorization.

121103031120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25002 (or 24975 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 121103031120000 its reverse (21130301121), we get a palindrome (121124161421121).

The spelling of 121103031120000 in words is "one hundred twenty-one trillion, one hundred three billion, thirty-one million, one hundred twenty thousand".