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122020147400 = 23522328194399
BaseRepresentation
bin111000110100011110…
…1111011000011001000
3102122221210102201202112
41301220331323003020
53444344124204100
6132015535121452
711546526065654
oct1615075730310
9378853381675
10122020147400
1147826212828
121b794373288
13b677896c68
145c97767a64
1532924e7b35
hex1c68f7b0c8

122020147400 has 96 divisors (see below), whose sum is σ = 297088128000. Its totient is φ = 46519334400.

The previous prime is 122020147357. The next prime is 122020147411. The reversal of 122020147400 is 4741020221.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1245401 + ... + 1339799.

It is an arithmetic number, because the mean of its divisors is an integer number (3094668000).

Almost surely, 2122020147400 is an apocalyptic number.

122020147400 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 122020147400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148544064000).

122020147400 is an abundant number, since it is smaller than the sum of its proper divisors (175067980600).

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

122020147400 is a wasteful number, since it uses less digits than its factorization.

122020147400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94719 (or 94710 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

Adding to 122020147400 its reverse (4741020221), we get a palindrome (126761167621).

The spelling of 122020147400 in words is "one hundred twenty-two billion, twenty million, one hundred forty-seven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 281 460 562 575 920 1124 1150 1405 2248 2300 2810 4600 5620 6463 7025 11240 12926 14050 25852 28100 32315 51704 56200 64630 94399 129260 161575 188798 258520 323150 377596 471995 646300 755192 943990 1292600 1887980 2171177 2359975 3775960 4342354 4719950 8684708 9439900 10855885 17369416 18879800 21711770 26526119 43423540 53052238 54279425 86847080 106104476 108558850 132630595 212208952 217117700 265261190 434235400 530522380 610100737 663152975 1061044760 1220201474 1326305950 2440402948 2652611900 3050503685 4880805896 5305223800 6101007370 12202014740 15252518425 24404029480 30505036850 61010073700 122020147400