Search a number
-
+
12015021200004 = 223213116271565897
BaseRepresentation
bin1010111011010111011100…
…0100100001001010000100
31120112121212111010010102100
42232311313010201022010
53033323230411400004
641315342522312100
72350025266056354
oct256656704411204
946477774103370
1012015021200004
1139125a6266789
121420712358630
1369201c74c304
142d775c960b64
1515c811a21739
hexaed77121284

12015021200004 has 72 divisors (see below), whose sum is σ = 30621974711328. Its totient is φ = 3971989157760.

The previous prime is 12015021199967. The next prime is 12015021200033. The reversal of 12015021200004 is 40000212051021.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 12015021200004.

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, 6889984 + ... + 8455880.

It is an arithmetic number, because the mean of its divisors is an integer number (425305204324).

Almost surely, 212015021200004 is an apocalyptic number.

It is an amenable number.

12015021200004 is an abundant number, since it is smaller than the sum of its proper divisors (18606953511324).

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

12015021200004 is a wasteful number, since it uses less digits than its factorization.

12015021200004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1567665 (or 1567660 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 12015021200004 its reverse (40000212051021), we get a palindrome (52015233251025).

It can be divided in two parts, 12015021 and 200004, that added together give a square (12215025 = 34952).

The spelling of 12015021200004 in words is "twelve trillion, fifteen billion, twenty-one million, two hundred thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 131 262 393 524 786 1179 1572 1627 2358 3254 4716 4881 6508 9762 14643 19524 29286 58572 213137 426274 639411 852548 1278822 1565897 1918233 2557644 3131794 3836466 4697691 6263588 7672932 9395382 14093073 18790764 28186146 56372292 205132507 410265014 615397521 820530028 1230795042 1846192563 2461590084 2547714419 3692385126 5095428838 7384770252 7643143257 10190857676 15286286514 22929429771 30572573028 45858859542 91717719084 333750588889 667501177778 1001251766667 1335002355556 2002503533334 3003755300001 4005007066668 6007510600002 12015021200004