Search a number
-
+
12112001120000 = 2854509148723
BaseRepresentation
bin1011000001000000101110…
…0001100011011100000000
31120212220012011221111202002
42300100023201203130000
53041420334241320000
641432102042443132
72360030451561035
oct260201341433400
946786164844662
1012112001120000
11394a741966aa1
1214374788034a8
1369b206666862
142dc31c86d38c
151600daa4c8d5
hexb040b863700

12112001120000 has 180 divisors, whose sum is σ = 30270749040840. Its totient is φ = 4835249664000.

The previous prime is 12112001119969. The next prime is 12112001120123. The reversal of 12112001120000 is 2110021121.

It is a super-2 number, since 2×121120011200002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 81365639 + ... + 81514361.

Almost surely, 212112001120000 is an apocalyptic number.

12112001120000 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 12112001120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15135374520420).

12112001120000 is an abundant number, since it is smaller than the sum of its proper divisors (18158747920840).

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

12112001120000 is an frugal number, since it uses more digits than its factorization.

12112001120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149268 (or 149239 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 12112001120000 its reverse (2110021121), we get a palindrome (12114111141121).

The spelling of 12112001120000 in words is "twelve trillion, one hundred twelve billion, one million, one hundred twenty thousand".