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2121240120 = 233517677001
BaseRepresentation
bin111111001101111…
…1000111000111000
312110211111011101220
41332123320320320
513321014140440
6550253312040
7103365146346
oct17633707070
95424434356
102121240120
1199942610a
124b2495620
1327a61688c
14161a18996
15c63608d0
hex7e6f8e38

2121240120 has 32 divisors (see below), whose sum is σ = 6363720720. Its totient is φ = 565664000.

The previous prime is 2121240103. The next prime is 2121240133. The reversal of 2121240120 is 210421212.

It is a super-2 number, since 2×21212401202 = 8999319293395228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2121240120.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 8838381 + ... + 8838620.

Almost surely, 22121240120 is an apocalyptic number.

2121240120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121240120 is an abundant number, since it is smaller than the sum of its proper divisors (4242480600).

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

2121240120 is a wasteful number, since it uses less digits than its factorization.

2121240120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17677015 (or 17677011 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2121240120 is about 46056.9226067048. The cubic root of 2121240120 is about 1284.8820959009.

Adding to 2121240120 its reverse (210421212), we get a palindrome (2331661332).

The spelling of 2121240120 in words is "two billion, one hundred twenty-one million, two hundred forty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 17677001 35354002 53031003 70708004 88385005 106062006 141416008 176770010 212124012 265155015 353540020 424248024 530310030 707080040 1060620060 2121240120