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12201301222000 = 24531131160911119
BaseRepresentation
bin1011000110001101011000…
…1110011010001001110000
31121012102200122211201022021
42301203112032122021300
53044401231103101000
641541111141521224
72366341422116452
oct261432616321160
947172618751267
1012201301222000
1139845a74a8390
12145083b113214
136a6768483cb7
1430279081c2d2
151625b572711a
hexb18d639a270

12201301222000 has 320 divisors, whose sum is σ = 33246672076800. Its totient is φ = 4290658560000.

The previous prime is 12201301221961. The next prime is 12201301222003. The reversal of 12201301222000 is 22210310221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12201301222003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1097332441 + ... + 1097343559.

It is an arithmetic number, because the mean of its divisors is an integer number (103895850240).

Almost surely, 212201301222000 is an apocalyptic number.

12201301222000 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 12201301222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16623336038400).

12201301222000 is an abundant number, since it is smaller than the sum of its proper divisors (21045370854800).

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

12201301222000 is a wasteful number, since it uses less digits than its factorization.

12201301222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12793 (or 12777 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12201301222000 its reverse (22210310221), we get a palindrome (12223511532221).

The spelling of 12201301222000 in words is "twelve trillion, two hundred one billion, three hundred one million, two hundred twenty-two thousand".