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122144132000 = 2553112776003
BaseRepresentation
bin111000111000001011…
…0111000101110100000
3102200021102201210122202
41301300112320232200
54000122344211000
6132040124352332
711552562664052
oct1616026705640
9380242653582
10122144132000
114788a1a6240
121b8099a56a8
13b697487727
145ca9ddd8d2
15329d338dd5
hex1c705b8ba0

122144132000 has 96 divisors (see below), whose sum is σ = 327390807744. Its totient is φ = 44416032000.

The previous prime is 122144131979. The next prime is 122144132029. The reversal of 122144132000 is 231441221.

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

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, 1344002 + ... + 1432001.

It is an arithmetic number, because the mean of its divisors is an integer number (3410320914).

Almost surely, 2122144132000 is an apocalyptic number.

122144132000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122144132000 is an abundant number, since it is smaller than the sum of its proper divisors (205246675744).

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

122144132000 is a wasteful number, since it uses less digits than its factorization.

122144132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2776039 (or 2776021 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 122144132000 its reverse (231441221), we get a palindrome (122375573221).

The spelling of 122144132000 in words is "one hundred twenty-two billion, one hundred forty-four million, one hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 800 880 1000 1100 1375 1760 2000 2200 2750 4000 4400 5500 8800 11000 22000 44000 2776003 5552006 11104012 13880015 22208024 27760030 30536033 44416048 55520060 61072066 69400075 88832096 111040120 122144132 138800150 152680165 222080240 244288264 277600300 305360330 347000375 444160480 488576528 555200600 610720660 694000750 763400825 977153056 1110401200 1221441320 1388001500 1526801650 2220802400 2442882640 2776003000 3053603300 3817004125 4885765280 5552006000 6107206600 7634008250 11104012000 12214413200 15268016500 24428826400 30536033000 61072066000 122144132000