226599120000 has 1800 divisors, whose sum is σ = 983935434405. Its totient is φ = 51701760000.

The previous prime is 226599119993. The next prime is 226599120037. The reversal of 226599120000 is 21995622.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 30735936 + 226568384064 = 5544^2 + 475992^2 .

It is a tau number, because it is divible by the number of its divisors (1800).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=336600.

It is a super-2 number, since 2×226599120000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 13329359992 + ... + 13329360008.

Almost surely, 2^226599120000 is an apocalyptic number.

226599120000 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 226599120000

226599120000 is an abundant number, since it is smaller than the sum of its proper divisors (757336314405).

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

226599120000 is an equidigital number, since it uses as much as digits as its factorization.

226599120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 226599120000 in words is "two hundred twenty-six billion, five hundred ninety-nine million, one hundred twenty thousand".