Search a number
-
+
122001221222200 = 23522713177100773
BaseRepresentation
bin11011101111010110011111…
…011100111111111100111000
3120222222012110212120101211101
4123233112133130333330320
5111442332000113102300
61111250330504541144
734461203664666625
oct3357263734777470
9528865425511741
10122001221222200
11359674778a6341
12118247a21817b4
13530c8869a6018
14221ac67bb534c
15e187e9961b6a
hex6ef59f73ff38

122001221222200 has 96 divisors (see below), whose sum is σ = 285597674775360. Its totient is φ = 48467029363200.

The previous prime is 122001221222131. The next prime is 122001221222201. The reversal of 122001221222200 is 2222122100221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122001221222201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13631014 + ... + 20731786.

It is an arithmetic number, because the mean of its divisors is an integer number (2974975778910).

Almost surely, 2122001221222200 is an apocalyptic number.

122001221222200 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 122001221222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142798837387680).

122001221222200 is an abundant number, since it is smaller than the sum of its proper divisors (163596453553160).

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

122001221222200 is a wasteful number, since it uses less digits than its factorization.

122001221222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7101377 (or 7101368 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 122001221222200 its reverse (2222122100221), we get a palindrome (124223343322421).

The spelling of 122001221222200 in words is "one hundred twenty-two trillion, one billion, two hundred twenty-one million, two hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 271 317 542 634 1084 1268 1355 1585 2168 2536 2710 3170 5420 6340 6775 7925 10840 12680 13550 15850 27100 31700 54200 63400 85907 171814 343628 429535 687256 859070 1718140 2147675 3436280 4295350 7100773 8590700 14201546 17181400 28403092 35503865 56806184 71007730 142015460 177519325 284030920 355038650 710077300 1420154600 1924309483 2250945041 3848618966 4501890082 7697237932 9003780164 9621547415 11254725205 15394475864 18007560328 19243094830 22509450410 38486189660 45018900820 48107737075 56273626025 76972379320 90037801640 96215474150 112547252050 192430948300 225094504100 384861896600 450189008200 610006106111 1220012212222 2440024424444 3050030530555 4880048848888 6100061061110 12200122122220 15250152652775 24400244244440 30500305305550 61000610611100 122001221222200