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12021000000000 = 293594007
BaseRepresentation
bin1010111011101101101101…
…1011110101001000000000
31120120012022011021122011020
42232323123123311020000
53033423002000000000
641322212100545440
72350326405040215
oct256733333651000
946505264248136
1012021000000000
113915094127702
1214219006b2280
136927633046a4
142d7b68a11b0c
1515ca6186cba0
hexaeedb6f5200

12021000000000 has 400 divisors, whose sum is σ = 40040855274816. Its totient is φ = 3204800000000.

The previous prime is 12020999999977. The next prime is 12021000000101. The reversal of 12021000000000 is 12021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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 39 ways as a sum of consecutive naturals, for example, 2999997997 + ... + 3000002003.

Almost surely, 212021000000000 is an apocalyptic number.

12021000000000 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 12021000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20020427637408).

12021000000000 is an abundant number, since it is smaller than the sum of its proper divisors (28019855274816).

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

12021000000000 is an frugal number, since it uses more digits than its factorization.

12021000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4073 (or 4017 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 12021000000000 its reverse (12021), we get a palindrome (12021000012021).

12021000000000 divided by its reverse (12021) gives a 9-th power (1000000000 = 109).

The spelling of 12021000000000 in words is "twelve trillion, twenty-one billion", and thus it is an aban number and an uban number.