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2120111100212 = 22719311011272811
BaseRepresentation
bin11110110110100000011…
…110000001000100110100
321111200101012001221022012
4132312200132001010310
5234213441420201322
64301544322423352
7306113221003550
oct36664036010464
97450335057265
102120111100212
11748152499166
122a2a84b01b58
13124c0577a7c1
1474884876860
153a237acbae2
hex1eda0781134

2120111100212 has 96 divisors (see below), whose sum is σ = 4652993372160. Its totient is φ = 824780880000.

The previous prime is 2120111100199. The next prime is 2120111100229. The reversal of 2120111100212 is 2120011110212.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1029287 + ... + 2302097.

It is an arithmetic number, because the mean of its divisors is an integer number (48468680960).

Almost surely, 22120111100212 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 2120111100212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2326496686080).

2120111100212 is an abundant number, since it is smaller than the sum of its proper divisors (2532882271948).

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

2120111100212 is a wasteful number, since it uses less digits than its factorization.

2120111100212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272973 (or 1272971 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2120111100212 its reverse (2120011110212), we get a palindrome (4240122210424).

The spelling of 2120111100212 in words is "two trillion, one hundred twenty billion, one hundred eleven million, one hundred thousand, two hundred twelve".

Divisors: 1 2 4 7 14 19 28 31 38 62 76 101 124 133 202 217 266 404 434 532 589 707 868 1178 1414 1919 2356 2828 3131 3838 4123 6262 7676 8246 12524 13433 16492 21917 26866 43834 53732 59489 87668 118978 237956 416423 832846 1272811 1665692 2545622 5091244 8909677 17819354 24183409 35638708 39457141 48366818 78914282 96733636 128553911 157828564 169283863 257107822 276199987 338567726 514215644 552399974 677135452 749685679 899877377 1104799948 1499371358 1799754754 2442524309 2998742716 3599509508 3985171241 4885048618 5247799753 7970342482 9770097236 10495599506 15940684964 17097670163 20991199012 27896198687 34195340326 55792397374 68390680652 75718253579 111584794748 151436507158 302873014316 530027775053 1060055550106 2120111100212