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12010020111000 = 23325310343329921
BaseRepresentation
bin1010111011000100110011…
…1110111000001010011000
31120112010221221200111000200
42232301030332320022120
53033233010122023000
641313154351502200
72346460331365062
oct256611476701230
946463857614020
1012010020111000
11391046a28557a
12141b757527960
136917035cbb52
142d7406698732
1515c61c952500
hexaec4cfb8298

12010020111000 has 384 divisors, whose sum is σ = 41084016704640. Its totient is φ = 3164147712000.

The previous prime is 12010020110983. The next prime is 12010020111119. The reversal of 12010020111000 is 11102001021.

It is a happy number.

12010020111000 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 (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 401376040 + ... + 401405960.

It is an arithmetic number, because the mean of its divisors is an integer number (106989626835).

Almost surely, 212010020111000 is an apocalyptic number.

12010020111000 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 12010020111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20542008352320).

12010020111000 is an abundant number, since it is smaller than the sum of its proper divisors (29073996593640).

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

12010020111000 is a wasteful number, since it uses less digits than its factorization.

12010020111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30484 (or 30467 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12010020111000 its reverse (11102001021), we get a palindrome (12021122112021).

The spelling of 12010020111000 in words is "twelve trillion, ten billion, twenty million, one hundred eleven thousand".