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122643201432 = 233151241140423
BaseRepresentation
bin111001000111000011…
…0101011110110011000
3102201120012211011012210
41302032012223312120
54002133124421212
6132201433235120
711601133004013
oct1621606536630
9381505734183
10122643201432
1148015987514
121b928b62aa0
13b7469a509b
145d163d237a
1532cc06b53c
hex1c8e1abd98

122643201432 has 64 divisors (see below), whose sum is σ = 309921384960. Its totient is φ = 40441536000.

The previous prime is 122643201413. The next prime is 122643201433. The reversal of 122643201432 is 234102346221.

It is a self number, because there is not a number n which added to its sum of digits gives 122643201432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122643201433) 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 15 ways as a sum of consecutive naturals, for example, 803173 + ... + 943595.

It is an arithmetic number, because the mean of its divisors is an integer number (4842521640).

Almost surely, 2122643201432 is an apocalyptic number.

122643201432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122643201432 is an abundant number, since it is smaller than the sum of its proper divisors (187278183528).

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

122643201432 is a wasteful number, since it uses less digits than its factorization.

122643201432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140824 (or 140820 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 122643201432 its reverse (234102346221), we get a palindrome (356745547653).

The spelling of 122643201432 in words is "one hundred twenty-two billion, six hundred forty-three million, two hundred one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 151 241 302 453 482 604 723 906 964 1208 1446 1812 1928 2892 3624 5784 36391 72782 109173 140423 145564 218346 280846 291128 421269 436692 561692 842538 873384 1123384 1685076 3370152 21203873 33841943 42407746 63611619 67683886 84815492 101525829 127223238 135367772 169630984 203051658 254446476 270735544 406103316 508892952 812206632 5110133393 10220266786 15330400179 20440533572 30660800358 40881067144 61321600716 122643201432