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12111330102000 = 243533799155051
BaseRepresentation
bin1011000000111110001110…
…0001110100101011110000
31120212211110102022021002120
42300033203201310223300
53041413001001231000
641431511312314240
72360005023165243
oct260174341645360
946784412267076
1012111330102000
11394a428112268
12143730bb42980
1369b12a633c9c
142dc2976bb25a
1516009bba26a0
hexb03e3874af0

12111330102000 has 320 divisors, whose sum is σ = 40143446274048. Its totient is φ = 3139171200000.

The previous prime is 12111330101987. The next prime is 12111330102013. The reversal of 12111330102000 is 20103311121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12111330101987) and next prime (12111330102013).

It is a super-2 number, since 2×121113301020002 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 219974475 + ... + 220029525.

Almost surely, 212111330102000 is an apocalyptic number.

12111330102000 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 12111330102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20071723137024).

12111330102000 is an abundant number, since it is smaller than the sum of its proper divisors (28032116172048).

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

12111330102000 is a wasteful number, since it uses less digits than its factorization.

12111330102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56105 (or 56089 counting only the distinct ones).

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

Adding to 12111330102000 its reverse (20103311121), we get a palindrome (12131433413121).

The spelling of 12111330102000 in words is "twelve trillion, one hundred eleven billion, three hundred thirty million, one hundred two thousand".