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12011110202000 = 245373132313331
BaseRepresentation
bin1010111011001000110111…
…1101001111101010010000
31120112020202220212211202102
42232302031331033222100
53033242223202431000
641313454452135532
72346526336121000
oct256621575175220
946466686784672
1012011110202000
113910979642028
12141ba006075a8
136918483c0500
142d74ab378000
1515c6834cc3d5
hexaec8df4fa90

12011110202000 has 960 divisors, whose sum is σ = 36903291609600. Its totient is φ = 3777725952000.

The previous prime is 12011110201973. The next prime is 12011110202023. The reversal of 12011110202000 is 20201111021.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 36287341835 + ... + 36287342165.

It is an arithmetic number, because the mean of its divisors is an integer number (38440928760).

Almost surely, 212011110202000 is an apocalyptic number.

12011110202000 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 12011110202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18451645804800).

12011110202000 is an abundant number, since it is smaller than the sum of its proper divisors (24892181407600).

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

12011110202000 is a wasteful number, since it uses less digits than its factorization.

12011110202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 671 counting only the distinct ones).

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

Adding to 12011110202000 its reverse (20201111021), we get a palindrome (12031311313021).

The spelling of 12011110202000 in words is "twelve trillion, eleven billion, one hundred ten million, two hundred two thousand".