140032133020120 has 128 divisors (see below), whose sum is σ = 347446305722880. Its totient is φ = 50369147136000.

The previous prime is 140032133020111. The next prime is 140032133020127. The reversal of 140032133020120 is 21020331230041.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 140032133020091 and 140032133020100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140032133020127) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 38173315 + ... + 41680525.

It is an arithmetic number, because the mean of its divisors is an integer number (2714424263460).

Almost surely, 2^{140032133020120} is an apocalyptic number.

140032133020120 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 140032133020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173723152861440).

140032133020120 is an abundant number, since it is smaller than the sum of its proper divisors (207414172702760).

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

140032133020120 is a wasteful number, since it uses less digits than its factorization.

140032133020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3508217 (or 3508213 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 140032133020120 its reverse (21020331230041), we get a palindrome (161052464250161).

The spelling of 140032133020120 in words is "one hundred forty trillion, thirty-two billion, one hundred thirty-three million, twenty thousand, one hundred twenty".