110132121132000 has 576 divisors, whose sum is σ = 448833214851840. Its totient is φ = 25293499776000.

The previous prime is 110132121131993. The next prime is 110132121132029. The reversal of 110132121132000 is 231121231011.

110132121132000 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 321 + 21 + 1 + 320 + 0 + 0 = 666.

It is a super-2 number, since 2×110132121132000² (a number of 29 digits) contains 22 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 205279 + ... + 14842721.

It is an arithmetic number, because the mean of its divisors is an integer number (779224331340).

Almost surely, 2^{110132121132000} is an apocalyptic number.

110132121132000 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 110132121132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224416607425920).

110132121132000 is an abundant number, since it is smaller than the sum of its proper divisors (338701093719840).

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

110132121132000 is a wasteful number, since it uses less digits than its factorization.

110132121132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14637504 (or 14637483 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 110132121132000 its reverse (231121231011), we get a palindrome (110363242363011).

The spelling of 110132121132000 in words is "one hundred ten trillion, one hundred thirty-two billion, one hundred twenty-one million, one hundred thirty-two thousand".