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2121630361212 = 22329419136110691
BaseRepresentation
bin11110110111111011000…
…001100010011001111100
321111211022001211101121010
4132313323001202121330
5234230044333024322
64302355153435220
7306165656342115
oct36677301423174
97454261741533
102121630361212
1174886203446a
122a322986bb10
131250b84549cb
147498a55120c
153a2c617d20c
hex1edfb06267c

2121630361212 has 96 divisors (see below), whose sum is σ = 5137651411200. Its totient is φ = 680629734400.

The previous prime is 2121630361189. The next prime is 2121630361217.

2121630361212 is nontrivially palindromic in base 10.

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 2121630361212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121630361217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198444787 + ... + 198455477.

It is an arithmetic number, because the mean of its divisors is an integer number (53517202200).

Almost surely, 22121630361212 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 2121630361212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2568825705600).

2121630361212 is an abundant number, since it is smaller than the sum of its proper divisors (3016021049988).

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

2121630361212 is a wasteful number, since it uses less digits than its factorization.

2121630361212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12507 (or 12505 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

It can be divided in two parts, 2121630 and 361212, that added together give a palindrome (2482842).

The spelling of 2121630361212 in words is "two trillion, one hundred twenty-one billion, six hundred thirty million, three hundred sixty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 419 838 1257 1361 1676 2514 2722 4083 5028 5444 8166 10691 12151 16332 21382 24302 32073 36453 39469 42764 48604 64146 72906 78938 118407 128292 145812 157876 236814 310039 473628 570259 620078 930117 1140518 1240156 1710777 1860234 2281036 3421554 3720468 4479529 6843108 8959058 13438587 14550451 16537511 17918116 26877174 29100902 33075022 43651353 49612533 53754348 58201804 66150044 87302706 99225066 129906341 174605412 198450132 259812682 389719023 421963079 519625364 779438046 843926158 1265889237 1558876092 1687852316 2531778474 5063556948 6096638969 12193277938 18289916907 24386555876 36579833814 73159667628 176802530101 353605060202 530407590303 707210120404 1060815180606 2121630361212