Search a number
-
+
121286521416256 = 26721966612
BaseRepresentation
bin11011100100111100111000…
…000001100110101001000000
3120220102212201012210111020021
4123210330320001212221000
5111344124243440310011
61105542131515423224
734355443031612200
oct3344747001465100
9526385635714207
10121286521416256
1135711363451999
121172a182754b14
13528a367c58271
1421d44284b0400
15e04e1a0e1471
hex6e4f38066a40

121286521416256 has 63 divisors (see below), whose sum is σ = 279973722275337. Its totient is φ = 51979673437440.

The previous prime is 121286521416227. The next prime is 121286521416341. The reversal of 121286521416256 is 652614125682121.

The square root of 121286521416256 is 11013016.

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., 61061471585856 + 60225049830400 = 7814184^2 + 7760480^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 616630566 + ... + 616827226.

Almost surely, 2121286521416256 is an apocalyptic number.

121286521416256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

121286521416256 is the 11013016-th square number.

It is an amenable number.

121286521416256 is an abundant number, since it is smaller than the sum of its proper divisors (158687200859081).

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

121286521416256 is an frugal number, since it uses more digits than its factorization.

121286521416256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393348 (or 196670 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 52.

The spelling of 121286521416256 in words is "one hundred twenty-one trillion, two hundred eighty-six billion, five hundred twenty-one million, four hundred sixteen thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 196661 393322 786644 1376627 1573288 2753254 3146576 5506508 6293152 9636389 11013016 12586304 19272778 22026032 38545556 44052064 77091112 88104128 154182224 308364448 616728896 38675548921 77351097842 154702195684 270728842447 309404391368 541457684894 618808782736 1082915369788 1237617565472 1895101897129 2165830739576 2475235130944 3790203794258 4331661479152 7580407588516 8663322958304 15160815177032 17326645916608 30321630354064 60643260708128 121286521416256