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12220021110000 = 243541128340559
BaseRepresentation
bin1011000111010011001000…
…0001000111010011110000
31121021020000021121120000110
42301310302001013103300
53100203100401010000
641553444502021320
72400603341414424
oct261646201072360
947236007546013
1012220021110000
113991533383300
1214543a4417840
136a845c8980c2
14303648abcb84
15162d0ddd0850
hexb1d320474f0

12220021110000 has 600 divisors, whose sum is σ = 43883533774080. Its totient is φ = 2926665280000.

The previous prime is 12220021109999. The next prime is 12220021110079. The reversal of 12220021110000 is 1112002221.

It is a tau number, because it is divible by the number of its divisors (600).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 301269721 + ... + 301310279.

Almost surely, 212220021110000 is an apocalyptic number.

12220021110000 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 12220021110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21941766887040).

12220021110000 is an abundant number, since it is smaller than the sum of its proper divisors (31663512664080).

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

12220021110000 is a wasteful number, since it uses less digits than its factorization.

12220021110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40695 (or 40663 counting only the distinct ones).

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

Adding to 12220021110000 its reverse (1112002221), we get a palindrome (12221133112221).

The spelling of 12220021110000 in words is "twelve trillion, two hundred twenty billion, twenty-one million, one hundred ten thousand".