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12002020012000 = 25535975767181
BaseRepresentation
bin1010111010100111000000…
…1000111010111111100000
31120111101022102002100022201
42232221300020322333200
53033120114110341000
641305352445542544
72346055146563224
oct256516010727740
946441272070281
1012002020012000
11390803444a807
12141a0a4274a54
13690a2a052965
142d6c87da6784
1515c30043796a
hexaea7023afe0

12002020012000 has 192 divisors, whose sum is σ = 30028838374080. Its totient is φ = 4713133824000.

The previous prime is 12002020011869. The next prime is 12002020012019. The reversal of 12002020012000 is 21002020021.

12002020012000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178618410 + ... + 178685590.

It is an arithmetic number, because the mean of its divisors is an integer number (156400199865).

Almost surely, 212002020012000 is an apocalyptic number.

12002020012000 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 12002020012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15014419187040).

12002020012000 is an abundant number, since it is smaller than the sum of its proper divisors (18026818362080).

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

12002020012000 is an equidigital number, since it uses as much as digits as its factorization.

12002020012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68022 (or 68004 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 12002020012000 its reverse (21002020021), we get a palindrome (12023022032021).

The spelling of 12002020012000 in words is "twelve trillion, two billion, twenty million, twelve thousand".