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120221020020 = 223531131949003
BaseRepresentation
bin110111111110110111…
…0110010111101110100
3102111022102001120222010
41233331232302331310
53432203040120040
6131121225404220
711454121544433
oct1577556627564
9374272046863
10120221020020
1146a926a47a2
121b371939670
13b44bc2114a
145b6683b11a
1531d95b2e80
hex1bfdbb2f74

120221020020 has 96 divisors (see below), whose sum is σ = 347748065280. Its totient is φ = 31000625280.

The previous prime is 120221020001. The next prime is 120221020057. The reversal of 120221020020 is 20020122021.

120221020020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 120221019978 and 120221020005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2428839 + ... + 2477841.

It is an arithmetic number, because the mean of its divisors is an integer number (3622375680).

Almost surely, 2120221020020 is an apocalyptic number.

120221020020 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 120221020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173874032640).

120221020020 is an abundant number, since it is smaller than the sum of its proper divisors (227527045260).

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

120221020020 is a wasteful number, since it uses less digits than its factorization.

120221020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50365 (or 50363 counting only the distinct ones).

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

Adding to 120221020020 its reverse (20020122021), we get a palindrome (140241142041).

The spelling of 120221020020 in words is "one hundred twenty billion, two hundred twenty-one million, twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1319 1860 2638 3957 5276 6595 7914 13190 15828 19785 26380 39570 40889 49003 79140 81778 98006 122667 147009 163556 196012 204445 245015 245334 294018 408890 490030 490668 588036 613335 735045 817780 980060 1226670 1470090 1519093 2453340 2940180 3038186 4557279 6076372 7595465 9114558 15190930 18229116 22786395 30381860 45572790 64634957 91145580 129269914 193904871 258539828 323174785 387809742 646349570 775619484 969524355 1292699140 1939048710 2003683667 3878097420 4007367334 6011051001 8014734668 10018418335 12022102002 20036836670 24044204004 30055255005 40073673340 60110510010 120221020020