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1214121280 = 26519397503
BaseRepresentation
bin100100001011110…
…0000010101000000
310010121120202021211
41020113200111000
54441303340110
6320250455504
742041601121
oct11027402500
93117522254
101214121280
11573381319
1229a734594
131646c9b78
14b7368048
15718c998a
hex485e0540

1214121280 has 112 divisors (see below), whose sum is σ = 3057022080. Its totient is φ = 458016768.

The previous prime is 1214121277. The next prime is 1214121287. The reversal of 1214121280 is 821214121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1214121287) 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, 2413509 + ... + 2414011.

It is an arithmetic number, because the mean of its divisors is an integer number (27294840).

Almost surely, 21214121280 is an apocalyptic number.

1214121280 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 1214121280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1528511040).

1214121280 is an abundant number, since it is smaller than the sum of its proper divisors (1842900800).

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

1214121280 is a wasteful number, since it uses less digits than its factorization.

1214121280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

The square root of 1214121280 is about 34844.2431400081. The cubic root of 1214121280 is about 1066.8106854152.

The spelling of 1214121280 in words is "one billion, two hundred fourteen million, one hundred twenty-one thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 152 160 190 304 320 380 397 503 608 760 794 1006 1216 1520 1588 1985 2012 2515 3040 3176 3970 4024 5030 6080 6352 7543 7940 8048 9557 10060 12704 15086 15880 16096 19114 20120 25408 30172 31760 32192 37715 38228 40240 47785 60344 63520 75430 76456 80480 95570 120688 127040 150860 152912 160960 191140 199691 241376 301720 305824 382280 399382 482752 603440 611648 764560 798764 998455 1206880 1529120 1597528 1996910 2413760 3058240 3195056 3794129 3993820 6390112 7588258 7987640 12780224 15176516 15975280 18970645 30353032 31950560 37941290 60706064 63901120 75882580 121412128 151765160 242824256 303530320 607060640 1214121280