140032121231000 has 512 divisors, whose sum is σ = 362868202045440. Its totient is φ = 50401612800000.

The previous prime is 140032121230987. The next prime is 140032121231053. The reversal of 140032121231000 is 132121230041.

It is a super-2 number, since 2×140032121231000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8214464477 + ... + 8214481523.

It is an arithmetic number, because the mean of its divisors is an integer number (708726957120).

Almost surely, 2^{140032121231000} is an apocalyptic number.

140032121231000 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 140032121231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181434101022720).

140032121231000 is an abundant number, since it is smaller than the sum of its proper divisors (222836080814440).

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

140032121231000 is a wasteful number, since it uses less digits than its factorization.

140032121231000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17444 (or 17430 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 140032121231000 its reverse (132121230041), we get a palindrome (140164242461041).

The spelling of 140032121231000 in words is "one hundred forty trillion, thirty-two billion, one hundred twenty-one million, two hundred thirty-one thousand".