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120020220120 = 2335232931783
BaseRepresentation
bin110111111000111000…
…0110011100011011000
3102110210102012220021210
41233301300303203120
53431300134020440
6131045253503120
711446133016123
oct1576160634330
9373712186253
10120020220120
114699a315869
121b316641aa0
13b419446a38
145b47ccb3ba
1531c6b4ba80
hex1bf1c338d8

120020220120 has 256 divisors, whose sum is σ = 389351577600. Its totient is φ = 29541625344.

The previous prime is 120020220113. The next prime is 120020220127. The reversal of 120020220120 is 21022020021.

120020220120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (120020220113) and next prime (120020220127).

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

It is a junction number, because it is equal to n+sod(n) for n = 120020220096 and 120020220105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120020220127) 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, 67312749 + ... + 67314531.

It is an arithmetic number, because the mean of its divisors is an integer number (1520904600).

Almost surely, 2120020220120 is an apocalyptic number.

120020220120 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 120020220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194675788800).

120020220120 is an abundant number, since it is smaller than the sum of its proper divisors (269331357480).

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

120020220120 is a wasteful number, since it uses less digits than its factorization.

120020220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1907 (or 1845 counting only the distinct ones).

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

Adding to 120020220120 its reverse (21022020021), we get a palindrome (141042240141).

The spelling of 120020220120 in words is "one hundred twenty billion, twenty million, two hundred twenty thousand, one hundred twenty".