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12021121212000 = 2535323370911743
BaseRepresentation
bin1010111011101110001010…
…1010001101111001100000
31120120012121121100211202120
42232323202222031321200
53033423224012241000
641322232110544240
72350332406240035
oct256734252157140
946505547324676
1012021121212000
11391514659700a
121421935208080
13692782464174
142d7b7ab6538c
1515ca6c3126a0
hexaeee2a8de60

12021121212000 has 384 divisors, whose sum is σ = 41107998597120. Its totient is φ = 3065169254400.

The previous prime is 12021121211993. The next prime is 12021121212019. The reversal of 12021121212000 is 21212112021.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1023678129 + ... + 1023689871.

It is an arithmetic number, because the mean of its divisors is an integer number (107052079680).

Almost surely, 212021121212000 is an apocalyptic number.

12021121212000 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 12021121212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20553999298560).

12021121212000 is an abundant number, since it is smaller than the sum of its proper divisors (29086877385120).

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

12021121212000 is a wasteful number, since it uses less digits than its factorization.

12021121212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15503 (or 15485 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 12021121212000 its reverse (21212112021), we get a palindrome (12042333324021).

The spelling of 12021121212000 in words is "twelve trillion, twenty-one billion, one hundred twenty-one million, two hundred twelve thousand".