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122542211000 = 235311109110211
BaseRepresentation
bin111001000100000010…
…1011011111110111000
3102201022011210022101102
41302020011123332320
54001431301223000
6132143424510532
711565465415166
oct1621005337670
9381264708342
10122542211000
1147a73979950
121b8bb17b448
13b72baa5831
145d06c24236
1532c326d3d5
hex1c8815bfb8

122542211000 has 128 divisors (see below), whose sum is σ = 313134232320. Its totient is φ = 44515600000.

The previous prime is 122542210919. The next prime is 122542211003. The reversal of 122542211000 is 112245221.

122542211000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122542211003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11995895 + ... + 12006105.

It is an arithmetic number, because the mean of its divisors is an integer number (2446361190).

Almost surely, 2122542211000 is an apocalyptic number.

122542211000 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 122542211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156567116160).

122542211000 is an abundant number, since it is smaller than the sum of its proper divisors (190592021320).

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

122542211000 is a wasteful number, since it uses less digits than its factorization.

122542211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11334 (or 11320 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 122542211000 its reverse (112245221), we get a palindrome (122654456221).

It can be divided in two parts, 12254221 and 1000, that added together give a palindrome (12255221).

The spelling of 122542211000 in words is "one hundred twenty-two billion, five hundred forty-two million, two hundred eleven thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1091 1100 1375 2182 2200 2750 4364 5455 5500 8728 10211 10910 11000 12001 20422 21820 24002 27275 40844 43640 48004 51055 54550 60005 81688 96008 102110 109100 112321 120010 136375 204220 218200 224642 240020 255275 272750 300025 408440 449284 480040 510550 545500 561605 600050 898568 1021100 1091000 1123210 1200100 1276375 1500125 2042200 2246420 2400200 2552750 2808025 3000250 4492840 5105500 5616050 6000500 10211000 11140201 11232100 12001000 14040125 22280402 22464200 28080250 44560804 55701005 56160500 89121608 111402010 112321000 122542211 222804020 245084422 278505025 445608040 490168844 557010050 612711055 980337688 1114020100 1225422110 1392525125 2228040200 2450844220 2785050250 3063555275 4901688440 5570100500 6127110550 11140201000 12254221100 15317776375 24508442200 30635552750 61271105500 122542211000