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12021121200000 = 2735511910691
BaseRepresentation
bin1010111011101110001010…
…1010001010111110000000
31120120012121121100020022010
42232323202222022332000
53033423224011400000
641322232110412520
72350332406160043
oct256734252127600
946505547306263
1012021121200000
113915146588aa0
121421935201140
1369278245b873
142d7b7ab60c5a
1515ca6c30dd50
hexaeee2a8af80

12021121200000 has 384 divisors, whose sum is σ = 43539674532480. Its totient is φ = 2914208000000.

The previous prime is 12021121199959. The next prime is 12021121200029. The reversal of 12021121200000 is 212112021.

12021121200000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12744655 + ... + 13655345.

It is an arithmetic number, because the mean of its divisors is an integer number (113384569095).

Almost surely, 212021121200000 is an apocalyptic number.

12021121200000 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 12021121200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21769837266240).

12021121200000 is an abundant number, since it is smaller than the sum of its proper divisors (31518553332480).

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

12021121200000 is an frugal number, since it uses more digits than its factorization.

12021121200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910744 (or 910712 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12021121200000 its reverse (212112021), we get a palindrome (12021333312021).

The spelling of 12021121200000 in words is "twelve trillion, twenty-one billion, one hundred twenty-one million, two hundred thousand".