10120434220 has 192 divisors, whose sum is σ = 25202451456. Its totient is φ = 3378216960.

The previous prime is 10120434209. The next prime is 10120434221. The reversal of 10120434220 is 2243402101.

It is not an unprimeable number, because it can be changed into a prime (10120434221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31925502 + ... + 31925818.

It is an arithmetic number, because the mean of its divisors is an integer number (131262768).

Almost surely, 2^10120434220 is an apocalyptic number.

10120434220 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 10120434220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12601225728).

10120434220 is an abundant number, since it is smaller than the sum of its proper divisors (15082017236).

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

10120434220 is a wasteful number, since it uses less digits than its factorization.

10120434220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 10120434220 its reverse (2243402101), we get a palindrome (12363836321).

It can be divided in two parts, 101204 and 34220, that added together give a square (135424 = 368²).

The spelling of 10120434220 in words is "ten billion, one hundred twenty million, four hundred thirty-four thousand, two hundred twenty".