10120652314120 has 128 divisors (see below), whose sum is σ = 23702649546240. Its totient is φ = 3886076113920.

The previous prime is 10120652314103. The next prime is 10120652314121. The reversal of 10120652314120 is 2141325602101.

It is a super-2 number, since 2×10120652314120² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10120652314121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 331885594 + ... + 331916086.

It is an arithmetic number, because the mean of its divisors is an integer number (185176949580).

Almost surely, 2^{10120652314120} is an apocalyptic number.

10120652314120 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 10120652314120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11851324773120).

10120652314120 is an abundant number, since it is smaller than the sum of its proper divisors (13581997232120).

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

10120652314120 is a wasteful number, since it uses less digits than its factorization.

10120652314120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33935 (or 33931 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

Adding to 10120652314120 its reverse (2141325602101), we get a palindrome (12261977916221).

The spelling of 10120652314120 in words is "ten trillion, one hundred twenty billion, six hundred fifty-two million, three hundred fourteen thousand, one hundred twenty".