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12223200041400 = 23352292999234239
BaseRepresentation
bin1011000111011110111101…
…1111110001100110111000
31121021112012211100000002110
42301313233133301212320
53100231103202311100
641555132141332320
72401045202035125
oct261675737614670
947245184300073
1012223200041400
113992914846537
121454b30b670a0
136a884836acba
1430386ad8174c
15162e4801b250
hexb1def7f19b8

12223200041400 has 192 divisors, whose sum is σ = 39211776000000. Its totient is φ = 3146059947520.

The previous prime is 12223200041369. The next prime is 12223200041407. The reversal of 12223200041400 is 414000232221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12223200041407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52065481 + ... + 52299719.

It is an arithmetic number, because the mean of its divisors is an integer number (204228000000).

Almost surely, 212223200041400 is an apocalyptic number.

12223200041400 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 12223200041400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19605888000000).

12223200041400 is an abundant number, since it is smaller than the sum of its proper divisors (26988575958600).

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

12223200041400 is a wasteful number, since it uses less digits than its factorization.

12223200041400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237286 (or 237277 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 12223200041400 its reverse (414000232221), we get a palindrome (12637200273621).

The spelling of 12223200041400 in words is "twelve trillion, two hundred twenty-three billion, two hundred million, forty-one thousand, four hundred".