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120211012020 = 2235112359791699
BaseRepresentation
bin110111111110100100…
…0100111100110110100
3102111021201020010120110
41233331020213212310
53432143004341040
6131120231103020
711453640512541
oct1577510474664
9374251203513
10120211012020
1146a87a89620
121b36a511a70
13b449b28a58
145b65393bc8
1531d8787980
hex1bfd2279b4

120211012020 has 384 divisors, whose sum is σ = 394813440000. Its totient is φ = 27039767040.

The previous prime is 120211011971. The next prime is 120211012021. The reversal of 120211012020 is 20210112021.

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 = 120211011987 and 120211012005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120211012021) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 70753131 + ... + 70754829.

It is an arithmetic number, because the mean of its divisors is an integer number (1028160000).

Almost surely, 2120211012020 is an apocalyptic number.

120211012020 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 120211012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197406720000).

120211012020 is an abundant number, since it is smaller than the sum of its proper divisors (274602427980).

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

120211012020 is a wasteful number, since it uses less digits than its factorization.

120211012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1883 (or 1881 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 120211012020 its reverse (20210112021), we get a palindrome (140421124041).

The spelling of 120211012020 in words is "one hundred twenty billion, two hundred eleven million, twelve thousand, twenty".