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2122020120 = 2335111607591
BaseRepresentation
bin111111001111011…
…0111010100011000
312110212221210100210
41332132313110120
513321214120440
6550322131120
7103404605403
oct17636672430
95425853323
102122020120
11999909140
124b27b0aa0
1327a82a90c
14161b7cd3a
15c6466a80
hex7e7b7518

2122020120 has 64 divisors (see below), whose sum is σ = 6944797440. Its totient is φ = 514428800.

The previous prime is 2122020101. The next prime is 2122020127. The reversal of 2122020120 is 210202212.

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 = 2122020096 and 2122020105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122020127) 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 15 ways as a sum of consecutive naturals, for example, 802476 + ... + 805115.

It is an arithmetic number, because the mean of its divisors is an integer number (108512460).

Almost surely, 22122020120 is an apocalyptic number.

2122020120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122020120 is an abundant number, since it is smaller than the sum of its proper divisors (4822777320).

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

2122020120 is a wasteful number, since it uses less digits than its factorization.

2122020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1607616 (or 1607612 counting only the distinct ones).

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

The square root of 2122020120 is about 46065.3896108564. The cubic root of 2122020120 is about 1285.0395643569.

Adding to 2122020120 its reverse (210202212), we get a palindrome (2332222332).

The spelling of 2122020120 in words is "two billion, one hundred twenty-two million, twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 1607591 3215182 4822773 6430364 8037955 9645546 12860728 16075910 17683501 19291092 24113865 32151820 35367002 38582184 48227730 53050503 64303640 70734004 88417505 96455460 106101006 141468008 176835010 192910920 212202012 265252515 353670020 424404024 530505030 707340040 1061010060 2122020120