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122142040000 = 26543053551
BaseRepresentation
bin111000111000000111…
…0111001111111000000
3102200021021210111222021
41301300032321333000
54000121330240000
6132040011451224
711552536131661
oct1616016717700
9380237714867
10122142040000
1147888aa7512
121b809156b14
13b696c04466
145ca9a17368
15329d07411a
hex1c703b9fc0

122142040000 has 70 divisors (see below), whose sum is σ = 302872662224. Its totient is φ = 48856800000.

The previous prime is 122142039983. The next prime is 122142040001. The reversal of 122142040000 is 40241221.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122142040001) 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 9 ways as a sum of consecutive naturals, for example, 1486776 + ... + 1566775.

Almost surely, 2122142040000 is an apocalyptic number.

122142040000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122142040000 is an abundant number, since it is smaller than the sum of its proper divisors (180730622224).

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

122142040000 is an frugal number, since it uses more digits than its factorization.

122142040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3053583 (or 3053558 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 122142040000 its reverse (40241221), we get a palindrome (122182281221).

The spelling of 122142040000 in words is "one hundred twenty-two billion, one hundred forty-two million, forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 4000 5000 8000 10000 20000 40000 3053551 6107102 12214204 15267755 24428408 30535510 48856816 61071020 76338775 97713632 122142040 152677550 195427264 244284080 305355100 381693875 488568160 610710200 763387750 977136320 1221420400 1526775500 1908469375 2442840800 3053551000 3816938750 4885681600 6107102000 7633877500 12214204000 15267755000 24428408000 30535510000 61071020000 122142040000