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122424212441304 = 23328151720858671
BaseRepresentation
bin11011110101100000011011…
…101100011100100011011000
3121001110122021212011201021200
4123311200123230130203120
5112021244241341110204
61112212523510434200
734533600053016144
oct3365403354344330
9531418255151250
10122424212441304
113600a8a936a964
1211892771062960
13534072761a807
14223351361c224
15e248049d3539
hex6f581bb1c8d8

122424212441304 has 48 divisors (see below), whose sum is σ = 331569658698720. Its totient is φ = 40807568249280.

The previous prime is 122424212441269. The next prime is 122424212441329. The reversal of 122424212441304 is 403144212424221.

122424212441304 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 24 + 212 + 4 + 413 + 0 + 4 = 666.

122424212441304 is digitally balanced in base 4, 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4560112 + ... + 16298559.

It is an arithmetic number, because the mean of its divisors is an integer number (6907701222890).

Almost surely, 2122424212441304 is an apocalyptic number.

It is an amenable number.

122424212441304 is an abundant number, since it is smaller than the sum of its proper divisors (209145446257416).

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

122424212441304 is a wasteful number, since it uses less digits than its factorization.

122424212441304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20940200 (or 20940193 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 122424212441304 its reverse (403144212424221), we get a palindrome (525568424865525).

The spelling of 122424212441304 in words is "one hundred twenty-two trillion, four hundred twenty-four billion, two hundred twelve million, four hundred forty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 81517 163034 244551 326068 489102 652136 733653 978204 1467306 1956408 2934612 5869224 20858671 41717342 62576013 83434684 125152026 166869368 187728039 250304052 375456078 500608104 750912156 1501824312 1700336283907 3400672567814 5101008851721 6801345135628 10202017703442 13602690271256 15303026555163 20404035406884 30606053110326 40808070813768 61212106220652 122424212441304