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12205503421440 = 21035733736211
BaseRepresentation
bin1011000110011101000010…
…1100100001110000000000
31121012211112112000120020120
42301213100230201300000
53044433332333441230
641543044133340240
72366550516201000
oct261472054416000
947184475016216
1012205503421440
113986363536a8a
121451612497680
136a6c87c4cb44
14302a6c968000
1516275e5dd310
hexb19d0b21c00

12205503421440 has 704 divisors, whose sum is σ = 45655397145600. Its totient is φ = 2781901946880.

The previous prime is 12205503421427. The next prime is 12205503421477. The reversal of 12205503421440 is 4412430550221.

It is a congruent number.

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, 1965139935 + ... + 1965146145.

It is an arithmetic number, because the mean of its divisors is an integer number (64851416400).

Almost surely, 212205503421440 is an apocalyptic number.

12205503421440 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 12205503421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22827698572800).

12205503421440 is an abundant number, since it is smaller than the sum of its proper divisors (33449893724160).

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

12205503421440 is an equidigital number, since it uses as much as digits as its factorization.

12205503421440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6633 (or 6601 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

Adding to 12205503421440 its reverse (4412430550221), we get a palindrome (16617933971661).

The spelling of 12205503421440 in words is "twelve trillion, two hundred five billion, five hundred three million, four hundred twenty-one thousand, four hundred forty".