10221123312000 has 1536 divisors, whose sum is σ = 39518018467200. Its totient is φ = 2526496358400.

The previous prime is 10221123311983. The next prime is 10221123312011. The reversal of 10221123312000 is 21332112201.

10221123312000 is a `hidden beast` number, since 1 + 0 + 22 + 112 + 331 + 200 + 0 = 666.

It is a super-3 number, since 3×10221123312000³ (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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12824495602 + ... + 12824496398.

Almost surely, 2^{10221123312000} is an apocalyptic number.

10221123312000 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 10221123312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19759009233600).

10221123312000 is an abundant number, since it is smaller than the sum of its proper divisors (29296895155200).

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

10221123312000 is a wasteful number, since it uses less digits than its factorization.

10221123312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10221123312000 its reverse (21332112201), we get a palindrome (10242455424201).

The spelling of 10221123312000 in words is "ten trillion, two hundred twenty-one billion, one hundred twenty-three million, three hundred twelve thousand".