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2121200720 = 24526515009
BaseRepresentation
bin111111001101110…
…1111010001010000
312110211102011100122
41332123233101100
513321011410340
6550252405412
7103364623442
oct17633572120
95424364318
102121200720
119993a9551
124b2476868
1327a601972
14161a08492
15c6353db5
hex7e6ef450

2121200720 has 20 divisors (see below), whose sum is σ = 4931791860. Its totient is φ = 848480256.

The previous prime is 2121200693. The next prime is 2121200773. The reversal of 2121200720 is 270021212.

It can be written as a sum of positive squares in 2 ways, for example, as 675376144 + 1445824576 = 25988^2 + 38024^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-4 number, since 4×21212007204 (a number of 38 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13257425 + ... + 13257584.

It is an arithmetic number, because the mean of its divisors is an integer number (246589593).

Almost surely, 22121200720 is an apocalyptic number.

2121200720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121200720 is an abundant number, since it is smaller than the sum of its proper divisors (2810591140).

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

2121200720 is a wasteful number, since it uses less digits than its factorization.

2121200720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26515022 (or 26515016 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 2121200720 is about 46056.4948731447. The cubic root of 2121200720 is about 1284.8741407009.

Adding to 2121200720 its reverse (270021212), we get a palindrome (2391221932).

The spelling of 2121200720 in words is "two billion, one hundred twenty-one million, two hundred thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 26515009 53030018 106060036 132575045 212120072 265150090 424240144 530300180 1060600360 2121200720