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121295241380 = 22553611875893
BaseRepresentation
bin111000011110111000…
…0101000000010100100
3102121002021101200122102
41300331300220002210
53441403040211010
6131420001551232
711522544353225
oct1607560500244
9377067350572
10121295241380
1147494002145
121b611645518
13b5906473a1
145c2938924c
15324da55ba5
hex1c3dc280a4

121295241380 has 48 divisors (see below), whose sum is σ = 263780710704. Its totient is φ = 46822264320.

The previous prime is 121295241371. The next prime is 121295241449. The reversal of 121295241380 is 83142592121.

121295241380 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 3849209764 + 117446031616 = 62042^2 + 342704^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 873287 + ... + 1002606.

It is an arithmetic number, because the mean of its divisors is an integer number (5495431473).

Almost surely, 2121295241380 is an apocalyptic number.

121295241380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121295241380 is an abundant number, since it is smaller than the sum of its proper divisors (142485469324).

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

121295241380 is a wasteful number, since it uses less digits than its factorization.

121295241380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1876016 (or 1876014 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The spelling of 121295241380 in words is "one hundred twenty-one billion, two hundred ninety-five million, two hundred forty-one thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 53 61 106 122 212 244 265 305 530 610 1060 1220 3233 6466 12932 16165 32330 64660 1875893 3751786 7503572 9379465 18758930 37517860 99422329 114429473 198844658 228858946 397689316 457717892 497111645 572147365 994223290 1144294730 1988446580 2288589460 6064762069 12129524138 24259048276 30323810345 60647620690 121295241380