Search a number
-
+
2121211220000 = 2554511920719
BaseRepresentation
bin11110110111100010000…
…010101001000000100000
321111210012212010210221112
4132313202002221000200
5234223220033020000
64302245422042452
7306152406606065
oct36674202510040
97453185123845
102121211220000
11748667485474
122a3131419428
1312504c670b62
147494aa06c6c
153a29e488235
hex1ede20a9020

2121211220000 has 120 divisors (see below), whose sum is σ = 5219769139200. Its totient is φ = 848277792000.

The previous prime is 2121211219993. The next prime is 2121211220003. The reversal of 2121211220000 is 221121212.

It is not an unprimeable number, because it can be changed into a prime (2121211220003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 102369641 + ... + 102390359.

It is an arithmetic number, because the mean of its divisors is an integer number (43498076160).

Almost surely, 22121211220000 is an apocalyptic number.

2121211220000 is a gapful number since it is divisible by the number (20) 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 2121211220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2609884569600).

2121211220000 is an abundant number, since it is smaller than the sum of its proper divisors (3098557919200).

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

2121211220000 is an equidigital number, since it uses as much as digits as its factorization.

2121211220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25868 (or 25845 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2121211220000 its reverse (221121212), we get a palindrome (2121432341212).

The spelling of 2121211220000 in words is "two trillion, one hundred twenty-one billion, two hundred eleven million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 5119 10000 10238 20000 20476 20719 25595 40952 41438 51190 81904 82876 102380 103595 127975 163808 165752 204760 207190 255950 331504 409520 414380 511900 517975 639875 663008 819040 828760 1023800 1035950 1279750 1657520 2047600 2071900 2559500 2589875 3199375 3315040 4095200 4143800 5119000 5179750 6398750 8287600 10238000 10359500 12797500 12949375 16575200 20476000 20719000 25595000 25898750 41438000 51190000 51797500 82876000 102380000 103595000 106060561 207190000 212121122 414380000 424242244 530302805 848484488 1060605610 1696968976 2121211220 2651514025 3393937952 4242422440 5303028050 8484844880 10606056100 13257570125 16969689760 21212112200 26515140250 42424224400 53030280500 66287850625 84848448800 106060561000 132575701250 212121122000 265151402500 424242244000 530302805000 1060605610000 2121211220000