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122331213320 = 23583173212987
BaseRepresentation
bin111000111101110000…
…0100010111000001000
3102200202110202111222112
41301323200202320020
54001013242311240
6132110450241452
711560324104461
oct1617340427010
9380673674875
10122331213320
11479758651a8
121b860586288
13b6c716a834
145cc6bbbd68
1532ae990665
hex1c7b822e08

122331213320 has 64 divisors (see below), whose sum is σ = 280172934720. Its totient is φ = 48063272704.

The previous prime is 122331213307. The next prime is 122331213337. The reversal of 122331213320 is 23312133221.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 467867 + ... + 680853.

It is an arithmetic number, because the mean of its divisors is an integer number (4377702105).

Almost surely, 2122331213320 is an apocalyptic number.

122331213320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122331213320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140086467360).

122331213320 is an abundant number, since it is smaller than the sum of its proper divisors (157841721400).

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

122331213320 is a wasteful number, since it uses less digits than its factorization.

122331213320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213254 (or 213250 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 122331213320 its reverse (23312133221), we get a palindrome (145643346541).

The spelling of 122331213320 in words is "one hundred twenty-two billion, three hundred thirty-one million, two hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 83 166 173 332 346 415 664 692 830 865 1384 1660 1730 3320 3460 6920 14359 28718 57436 71795 114872 143590 212987 287180 425974 574360 851948 1064935 1703896 2129870 4259740 8519480 17677921 35355842 36846751 70711684 73693502 88389605 141423368 147387004 176779210 184233755 294774008 353558420 368467510 707116840 736935020 1473870040 3058280333 6116560666 12233121332 15291401665 24466242664 30582803330 61165606660 122331213320