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12001211110020 = 22351183622935171
BaseRepresentation
bin1010111010100011111111…
…1011001101001010000100
31120111022020000222212102010
42232220333323031022010
53033111440021010040
641305140312214220
72346026125202346
oct256507773151204
946438200885363
1012001211110020
113907759889780
121419ab939a370
1369092b5a3c32
142d6c0c7a1296
1515c2a4402e80
hexaea3fecd284

12001211110020 has 192 divisors, whose sum is σ = 37106921456640. Its totient is φ = 2873788531200.

The previous prime is 12001211110003. The next prime is 12001211110033. The reversal of 12001211110020 is 2001111210021.

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

It is a junction number, because it is equal to n+sod(n) for n = 12001211109978 and 12001211110005.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 341207035 + ... + 341242205.

It is an arithmetic number, because the mean of its divisors is an integer number (193265215920).

Almost surely, 212001211110020 is an apocalyptic number.

12001211110020 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 12001211110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18553460728320).

12001211110020 is an abundant number, since it is smaller than the sum of its proper divisors (25105710346620).

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

12001211110020 is a wasteful number, since it uses less digits than its factorization.

12001211110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41506 (or 41504 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12001211110020 its reverse (2001111210021), we get a palindrome (14002322320041).

The spelling of 12001211110020 in words is "twelve trillion, one billion, two hundred eleven million, one hundred ten thousand, twenty".