10233202001220 has 576 divisors, whose sum is σ = 36642829676544. Its totient is φ = 2286329379840.

The previous prime is 10233202001123. The next prime is 10233202001261. The reversal of 10233202001220 is 2210020233201.

10233202001220 is a `hidden beast` number, since 1 + 0 + 23 + 320 + 200 + 122 + 0 = 666.

It is a super-3 number, since 3×10233202001220³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10233202001193 and 10233202001202.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 173523459 + ... + 173582421.

It is an arithmetic number, because the mean of its divisors is an integer number (63616023744).

Almost surely, 2^{10233202001220} is an apocalyptic number.

10233202001220 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 10233202001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18321414838272).

10233202001220 is an abundant number, since it is smaller than the sum of its proper divisors (26409627675324).

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

10233202001220 is a wasteful number, since it uses less digits than its factorization.

10233202001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59152 (or 59147 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10233202001220 its reverse (2210020233201), we get a palindrome (12443222234421).

The spelling of 10233202001220 in words is "ten trillion, two hundred thirty-three billion, two hundred two million, one thousand, two hundred twenty".