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12021110000 = 245419151419
BaseRepresentation
bin10110011001000001…
…11001010011110000
31011000202211122211022
423030200321103300
5144104401010000
65304502035012
7603615514634
oct131440712360
934022748738
1012021110000
11510966a959
1223b5a18a68
131197646253
14820754dc4
154a5540585
hex2cc8394f0

12021110000 has 200 divisors, whose sum is σ = 30912604800. Its totient is φ = 4514400000.

The previous prime is 12021109987. The next prime is 12021110027. The reversal of 12021110000 is 1112021.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 12021110000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28689791 + ... + 28690209.

It is an arithmetic number, because the mean of its divisors is an integer number (154563024).

Almost surely, 212021110000 is an apocalyptic number.

12021110000 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 12021110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15456302400).

12021110000 is an abundant number, since it is smaller than the sum of its proper divisors (18891494800).

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

12021110000 is a wasteful number, since it uses less digits than its factorization.

12021110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 12021110000 its reverse (1112021), we get a palindrome (12022222021).

The spelling of 12021110000 in words is "twelve billion, twenty-one million, one hundred ten thousand".