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2121411144412 = 2272292811328203
BaseRepresentation
bin11110110111101101111…
…101010010101011011100
321111210201210100000200101
4132313231331102223130
5234224122223110122
64302321323110444
7306160355130100
oct36675575225334
97453653300611
102121411144412
1174875a31665a
122a3188372424
13125081bcc921
14749693a9900
153a2b1cca027
hex1ededf52adc

2121411144412 has 72 divisors (see below), whose sum is σ = 4483405730160. Its totient is φ = 874700709120.

The previous prime is 2121411144407. The next prime is 2121411144421. The reversal of 2121411144412 is 2144411141212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 933103 + ... + 2261305.

It is an arithmetic number, because the mean of its divisors is an integer number (62269524030).

Almost surely, 22121411144412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121411144412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2241702865080).

2121411144412 is an abundant number, since it is smaller than the sum of its proper divisors (2361994585748).

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

2121411144412 is a wasteful number, since it uses less digits than its factorization.

2121411144412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328531 (or 1328522 counting only the distinct ones).

The product of its digits is 2048, while the sum is 28.

Adding to 2121411144412 its reverse (2144411141212), we get a palindrome (4265822285624).

The spelling of 2121411144412 in words is "two trillion, one hundred twenty-one billion, four hundred eleven million, one hundred forty-four thousand, four hundred twelve".

Divisors: 1 2 4 7 14 28 29 49 58 98 116 196 203 281 406 562 812 1124 1421 1967 2842 3934 5684 7868 8149 13769 16298 27538 32596 55076 57043 114086 228172 399301 798602 1328203 1597204 2656406 5312812 9297421 18594842 37189684 38517887 65081947 77035774 130163894 154071548 260327788 269625209 373225043 539250418 746450086 1078500836 1492900172 1887376463 2612575301 3774752926 5225150602 7549505852 10450301204 10823526247 18288027107 21647052494 36576054214 43294104988 73152108428 75764683729 151529367458 303058734916 530352786103 1060705572206 2121411144412