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124412204240 = 24553201114591
BaseRepresentation
bin111001111011110001…
…0111001010011010000
3102220010111111210212022
41303313202321103100
54014244011013430
6133053145151012
711663023200422
oct1636742712320
9386114453768
10124412204240
114884349a505
122014148b468
13b9693312cc
14604331a812
1533825004e5
hex1cf78b94d0

124412204240 has 80 divisors (see below), whose sum is σ = 294882840576. Its totient is φ = 48798297600.

The previous prime is 124412204239. The next prime is 124412204243. The reversal of 124412204240 is 42402214421.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124412204243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8519345 + ... + 8533935.

Almost surely, 2124412204240 is an apocalyptic number.

124412204240 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 124412204240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147441420288).

124412204240 is an abundant number, since it is smaller than the sum of its proper divisors (170470636336).

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

124412204240 is a wasteful number, since it uses less digits than its factorization.

124412204240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16668 (or 16662 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 124412204240 its reverse (42402214421), we get a palindrome (166814418661).

The spelling of 124412204240 in words is "one hundred twenty-four billion, four hundred twelve million, two hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 1060 2011 2120 4022 4240 8044 10055 14591 16088 20110 29182 32176 40220 58364 72955 80440 106583 116728 145910 160880 213166 233456 291820 426332 532915 583640 773323 852664 1065830 1167280 1546646 1705328 2131660 3093292 3866615 4263320 6186584 7733230 8526640 12373168 15466460 29342501 30932920 58685002 61865840 117370004 146712505 234740008 293425010 469480016 586850020 1173700040 1555152553 2347400080 3110305106 6220610212 7775762765 12441220424 15551525530 24882440848 31103051060 62206102120 124412204240