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122422122320 = 24531191258449
BaseRepresentation
bin111001000000011101…
…1010101011101010000
3102200222210211011200112
41302000323111131100
54001210030403240
6132123454540452
711562506604341
oct1620073253520
9380883734615
10122422122320
1147a12107503
121b886b07728
13b70cc4a444
145cd4cc40c8
1532b794b665
hex1c80ed5750

122422122320 has 80 divisors (see below), whose sum is σ = 295352524800. Its totient is φ = 47140915200.

The previous prime is 122422122301. The next prime is 122422122331. The reversal of 122422122320 is 23221224221.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 344456 + ... + 602904.

It is an arithmetic number, because the mean of its divisors is an integer number (3691906560).

Almost surely, 2122422122320 is an apocalyptic number.

122422122320 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 122422122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147676262400).

122422122320 is an abundant number, since it is smaller than the sum of its proper divisors (172930402480).

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

122422122320 is a wasteful number, since it uses less digits than its factorization.

122422122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258684 (or 258678 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 122422122320 its reverse (23221224221), we get a palindrome (145643346541).

The spelling of 122422122320 in words is "one hundred twenty-two billion, four hundred twenty-two million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 191 248 310 382 496 620 764 955 1240 1528 1910 2480 3056 3820 5921 7640 11842 15280 23684 29605 47368 59210 94736 118420 236840 258449 473680 516898 1033796 1292245 2067592 2584490 4135184 5168980 8011919 10337960 16023838 20675920 32047676 40059595 49363759 64095352 80119190 98727518 128190704 160238380 197455036 246818795 320476760 394910072 493637590 640953520 789820144 987275180 1530276529 1974550360 3060553058 3949100720 6121106116 7651382645 12242212232 15302765290 24484424464 30605530580 61211061160 122422122320