Search a number
-
+
122100212240 = 24519233492569
BaseRepresentation
bin111000110110110111…
…1010110001000010000
3102200011101002110001222
41301231233112020100
54000030123242430
6132031515144212
711551520452106
oct1615557261020
9380141073058
10122100212240
1147867428716
121b7b7145068
13b68b34a9c6
145ca4249c76
1532995609e5
hex1c6dbd6210

122100212240 has 80 divisors (see below), whose sum is σ = 311816649600. Its totient is φ = 44257821696.

The previous prime is 122100212239. The next prime is 122100212243. The reversal of 122100212240 is 42212001221.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (122100212243) 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, 1711325 + ... + 1781244.

It is an arithmetic number, because the mean of its divisors is an integer number (3897708120).

Almost surely, 2122100212240 is an apocalyptic number.

122100212240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122100212240 is an abundant number, since it is smaller than the sum of its proper divisors (189716437360).

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

122100212240 is a wasteful number, since it uses less digits than its factorization.

122100212240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3492624 (or 3492618 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 122100212240 its reverse (42212001221), we get a palindrome (164312213461).

The spelling of 122100212240 in words is "one hundred twenty-two billion, one hundred million, two hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 23 38 40 46 76 80 92 95 115 152 184 190 230 304 368 380 437 460 760 874 920 1520 1748 1840 2185 3496 4370 6992 8740 17480 34960 3492569 6985138 13970276 17462845 27940552 34925690 55881104 66358811 69851380 80329087 132717622 139702760 160658174 265435244 279405520 321316348 331794055 401645435 530870488 642632696 663588110 803290870 1061740976 1285265392 1327176220 1526252653 1606581740 2654352440 3052505306 3213163480 5308704880 6105010612 6426326960 7631263265 12210021224 15262526530 24420042448 30525053060 61050106120 122100212240