Search a number
-
+
122212011000 = 2335353768629
BaseRepresentation
bin111000111010001100…
…1110100101111111000
3102200110011110102010210
41301310121310233320
54000242233323000
6132050551311120
711554345645032
oct1616431645770
9380404412123
10122212011000
1147914548792
121b82867b4a0
13b6a8562a11
145cb502cc52
1532a4296350
hex1c74674bf8

122212011000 has 128 divisors (see below), whose sum is σ = 388496347200. Its totient is φ = 31974924800.

The previous prime is 122212010941. The next prime is 122212011017. The reversal of 122212011000 is 110212221.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 225315 + ... + 543314.

Almost surely, 2122212011000 is an apocalyptic number.

122212011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122212011000 is an abundant number, since it is smaller than the sum of its proper divisors (266284336200).

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

122212011000 is a wasteful number, since it uses less digits than its factorization.

122212011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768706 (or 768692 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 122212011000 its reverse (110212221), we get a palindrome (122322223221).

The spelling of 122212011000 in words is "one hundred twenty-two billion, two hundred twelve million, eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 53 60 75 100 106 120 125 150 159 200 212 250 265 300 318 375 424 500 530 600 636 750 795 1000 1060 1272 1325 1500 1590 2120 2650 3000 3180 3975 5300 6360 6625 7950 10600 13250 15900 19875 26500 31800 39750 53000 79500 159000 768629 1537258 2305887 3074516 3843145 4611774 6149032 7686290 9223548 11529435 15372580 18447096 19215725 23058870 30745160 38431450 40737337 46117740 57647175 76862900 81474674 92235480 96078625 115294350 122212011 153725800 162949348 192157250 203686685 230588700 244424022 288235875 325898696 384314500 407373370 461177400 488848044 576471750 611060055 768629000 814746740 977696088 1018433425 1152943500 1222120110 1629493480 2036866850 2305887000 2444240220 3055300275 4073733700 4888480440 5092167125 6110600550 8147467400 10184334250 12221201100 15276501375 20368668500 24442402200 30553002750 40737337000 61106005500 122212011000