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12212111220320 = 2551172714296679
BaseRepresentation
bin1011000110110101101010…
…0011010001111001100000
31121020110121000202112020102
42301231122203101321200
53100040400433022240
641550055541401532
72400203333436524
oct261553243217140
947213530675212
1012212111220320
1139891444620a0
1214529574092a8
136a779bc151cb
143030d838dd84
151629e9784815
hexb1b5a8d1e60

12212111220320 has 192 divisors, whose sum is σ = 31544011699200. Its totient is φ = 4430892533760.

The previous prime is 12212111220319. The next prime is 12212111220329. The reversal of 12212111220320 is 2302211121221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12212111220292 and 12212111220301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12212111220329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1828430741 + ... + 1828437419.

It is an arithmetic number, because the mean of its divisors is an integer number (164291727600).

Almost surely, 212212111220320 is an apocalyptic number.

12212111220320 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 12212111220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15772005849600).

12212111220320 is an abundant number, since it is smaller than the sum of its proper divisors (19331900478880).

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

12212111220320 is a wasteful number, since it uses less digits than its factorization.

12212111220320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8861 (or 8853 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 12212111220320 its reverse (2302211121221), we get a palindrome (14514322341541).

Subtracting from 12212111220320 its reverse (2302211121221), we obtain a palindrome (9909900099099).

The spelling of 12212111220320 in words is "twelve trillion, two hundred twelve billion, one hundred eleven million, two hundred twenty thousand, three hundred twenty".