Search a number
-
+
12020120001120 = 25357112101292727
BaseRepresentation
bin1010111011101010011011…
…1110111001101001100000
31120120010000211102001122010
42232322212332321221200
53033414201210013440
641321544503312520
72350265531133630
oct256724676715140
946503024361563
1012020120001120
113914782416500
1214216b5a4b740
13692652bc1aaa
142d7ac3bc06c0
1515ca0e492580
hexaeea6fb9a60

12020120001120 has 576 divisors, whose sum is σ = 48035006788608. Its totient is φ = 2472949248000.

The previous prime is 12020120001107. The next prime is 12020120001137. The reversal of 12020120001120 is 2110002102021.

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

It is a junction number, because it is equal to n+sod(n) for n = 12020120001096 and 12020120001105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40916197 + ... + 41208923.

It is an arithmetic number, because the mean of its divisors is an integer number (83394109008).

Almost surely, 212020120001120 is an apocalyptic number.

12020120001120 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 12020120001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24017503394304).

12020120001120 is an abundant number, since it is smaller than the sum of its proper divisors (36014886787488).

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

12020120001120 is a wasteful number, since it uses less digits than its factorization.

12020120001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292875 (or 292856 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12020120001120 its reverse (2110002102021), we get a palindrome (14130122103141).

The spelling of 12020120001120 in words is "twelve trillion, twenty billion, one hundred twenty million, one thousand, one hundred twenty".