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1241209897216 = 2817923892
BaseRepresentation
bin10010000011111101111…
…000000000000100000000
311101122210001101210102221
4102003331320000010000
5130313444213202331
62350112015420424
7155450224022662
oct22037570000400
94348701353387
101241209897216
114394376a0893
1218067a824714
1390079218583
1444109680532
1522447a15711
hex120fde00100

1241209897216 has 81 divisors (see below), whose sum is σ = 2497911146941. Its totient is φ = 615551409152.

The previous prime is 1241209897189. The next prime is 1241209897223. The reversal of 1241209897216 is 6127989021421.

The square root of 1241209897216 is 1114096.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 293001359616 + 948208537600 = 541296^2 + 973760^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3190770750 + ... + 3190771138.

Almost surely, 21241209897216 is an apocalyptic number.

1241209897216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1241209897216 is the 1114096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1241209897216

1241209897216 is an abundant number, since it is smaller than the sum of its proper divisors (1256701249725).

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

1241209897216 is an frugal number, since it uses more digits than its factorization.

1241209897216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 52.

The spelling of 1241209897216 in words is "one trillion, two hundred forty-one billion, two hundred nine million, eight hundred ninety-seven thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 179 256 358 389 716 778 1432 1556 2864 3112 5728 6224 11456 12448 22912 24896 32041 45824 49792 64082 69631 99584 128164 139262 151321 256328 278524 302642 512656 557048 605284 1025312 1114096 1210568 2050624 2228192 2421136 4101248 4456384 4842272 8202496 8912768 9684544 12463949 17825536 19369088 24927898 27086459 38738176 49855796 54172918 99711592 108345836 199423184 216691672 398846368 433383344 797692736 866766688 1595385472 1733533376 3190770944 3467066752 4848476161 6934133504 9696952322 19393904644 38787809288 77575618576 155151237152 310302474304 620604948608 1241209897216