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220412201232300 = 22352711176179116471
BaseRepresentation
bin110010000111011010110110…
…111101010110011110101100
31001220102012102021102202101120
4302013122312331112132230
5212342213142003413200
62100435544542340540
764266153551113320
oct6207326675263654
91056365367382346
10220412201232300
1164259320509140
122087944028a750
1395caa2094191c
143c60016685980
151a73661a8d9a0
hexc876b6f567ac

220412201232300 has 1152 divisors, whose sum is σ = 866496220692480. Its totient is φ = 41862113280000.

The previous prime is 220412201232287. The next prime is 220412201232329. The reversal of 220412201232300 is 3232102214022.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1892363065 + ... + 1892479535.

It is an arithmetic number, because the mean of its divisors is an integer number (752166858240).

Almost surely, 2220412201232300 is an apocalyptic number.

220412201232300 is a gapful number since it is divisible by the number (20) 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 220412201232300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433248110346240).

220412201232300 is an abundant number, since it is smaller than the sum of its proper divisors (646084019460180).

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

220412201232300 is a wasteful number, since it uses less digits than its factorization.

220412201232300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116663 (or 116656 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 220412201232300 its reverse (3232102214022), we get a palindrome (223644303446322).

The spelling of 220412201232300 in words is "two hundred twenty trillion, four hundred twelve billion, two hundred one million, two hundred thirty-two thousand, three hundred".