10223132112000 has 384 divisors, whose sum is σ = 36722731968000. Its totient is φ = 2725507123200.

The previous prime is 10223132111999. The next prime is 10223132112031. The reversal of 10223132112000 is 21123132201.

10223132112000 is a `hidden beast` number, since 1 + 0 + 223 + 1 + 321 + 120 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×10223132112000³ (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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 983082801 + ... + 983093199.

It is an arithmetic number, because the mean of its divisors is an integer number (95632114500).

Almost surely, 2^{10223132112000} is an apocalyptic number.

10223132112000 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 10223132112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18361365984000).

10223132112000 is an abundant number, since it is smaller than the sum of its proper divisors (26499599856000).

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

10223132112000 is a wasteful number, since it uses less digits than its factorization.

10223132112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17261 (or 17236 counting only the distinct ones).

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

Adding to 10223132112000 its reverse (21123132201), we get a palindrome (10244255244201).

It can be divided in two parts, 1022313 and 2112000, that added together give a palindrome (3134313).

The spelling of 10223132112000 in words is "ten trillion, two hundred twenty-three billion, one hundred thirty-two million, one hundred twelve thousand".