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2122021304120 = 2351543233314737
BaseRepresentation
bin11110111000010010010…
…100110111011100111000
321111212022022110100110002
4132320102110313130320
5234231344423212440
64302502041012132
7306211444322264
oct36702224673470
97455268410402
102122021304120
11748a42783683
122a3318784048
1312514b444983
14749c64390a4
153a2ea653115
hex1ee12537738

2122021304120 has 64 divisors (see below), whose sum is σ = 4780014448320. Its totient is φ = 847837292544.

The previous prime is 2122021304087. The next prime is 2122021304129. The reversal of 2122021304120 is 214031202212.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2122021304092 and 2122021304101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122021304129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143985392 + ... + 144000128.

It is an arithmetic number, because the mean of its divisors is an integer number (74687725755).

Almost surely, 22122021304120 is an apocalyptic number.

2122021304120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122021304120 is an abundant number, since it is smaller than the sum of its proper divisors (2657993144200).

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

2122021304120 is a wasteful number, since it uses less digits than its factorization.

2122021304120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18624 (or 18620 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 2122021304120 its reverse (214031202212), we get a palindrome (2336052506332).

The spelling of 2122021304120 in words is "two trillion, one hundred twenty-two billion, twenty-one million, three hundred four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 1543 2333 3086 4666 6172 7715 9332 11665 12344 14737 15430 18664 23330 29474 30860 46660 58948 61720 73685 93320 117896 147370 294740 589480 3599819 7199638 14399276 17999095 22739191 28798552 34381421 35998190 45478382 68762842 71996380 90956764 113695955 137525684 143992760 171907105 181913528 227391910 275051368 343814210 454783820 687628420 909567640 1375256840 53050532603 106101065206 212202130412 265252663015 424404260824 530505326030 1061010652060 2122021304120