220120000140 has 192 divisors, whose sum is σ = 634732600320. Its totient is φ = 56975339520.

The previous prime is 220120000129. The next prime is 220120000183. The reversal of 220120000140 is 41000021022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 166630680 + ... + 166632000.

It is an arithmetic number, because the mean of its divisors is an integer number (3305898960).

Almost surely, 2^220120000140 is an apocalyptic number.

220120000140 is a gapful number since it is divisible by the number (20) 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 220120000140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317366300160).

220120000140 is an abundant number, since it is smaller than the sum of its proper divisors (414612600180).

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

220120000140 is a wasteful number, since it uses less digits than its factorization.

220120000140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1952 (or 1950 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 220120000140 its reverse (41000021022), we get a palindrome (261120021162).

The spelling of 220120000140 in words is "two hundred twenty billion, one hundred twenty million, one hundred forty", and thus it is an aban number.