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11442212124120 = 23325121507261581
BaseRepresentation
bin1010011010000001100011…
…1111010011010111011000
31111111212100102210010121200
42212200120333103113120
52444432122300432440
640200251340034200
72260446453211521
oct246403077232730
944455312703550
1011442212124120
11371168449a9a8
1213496b1832960
1364ccc41cc91b
142b7b3da1b848
1514c988d9dc30
hexa6818fd35d8

11442212124120 has 96 divisors (see below), whose sum is σ = 37187637617520. Its totient is φ = 3051219790080.

The previous prime is 11442212124073. The next prime is 11442212124137. The reversal of 11442212124120 is 2142121224411.

11442212124120 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 221 + 21 + 2 + 412 + 0 = 666.

11442212124120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43611730 + ... + 43873310.

Almost surely, 211442212124120 is an apocalyptic number.

11442212124120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11442212124120 is an abundant number, since it is smaller than the sum of its proper divisors (25745425493400).

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

11442212124120 is a wasteful number, since it uses less digits than its factorization.

11442212124120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383105 (or 383098 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 11442212124120 its reverse (2142121224411), we get a palindrome (13584333348531).

The spelling of 11442212124120 in words is "eleven trillion, four hundred forty-two billion, two hundred twelve million, one hundred twenty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 121507 243014 261581 364521 486028 523162 607535 729042 784743 972056 1046324 1093563 1215070 1307905 1458084 1569486 1822605 2092648 2187126 2354229 2430140 2615810 2916168 3138972 3645210 3923715 4374252 4708458 4860280 5231620 5467815 6277944 7290420 7847430 8748504 9416916 10463240 10935630 11771145 14580840 15694860 18833832 21871260 23542290 31389720 43742520 47084580 94169160 31783922567 63567845134 95351767701 127135690268 158919612835 190703535402 254271380536 286055303103 317839225670 381407070804 476758838505 572110606206 635678451340 762814141608 953517677010 1144221212412 1271356902680 1430276515515 1907035354020 2288442424824 2860553031030 3814070708040 5721106062060 11442212124120