Search a number
-
+
122625021456 = 24327235289209
BaseRepresentation
bin111001000110100000…
…1010101011000010000
3102201111221121111222100
41302031001111120100
54002114001141311
6132155543440400
711600522325120
oct1621501253020
9381457544870
10122625021456
114800669a643
121b922a56100
13b742cab1c2
145d13c1cc80
1532ca679a56
hex1c8d055610

122625021456 has 120 divisors (see below), whose sum is σ = 409257912960. Its totient is φ = 33512421888.

The previous prime is 122625021439. The next prime is 122625021487. The reversal of 122625021456 is 654120526221.

122625021456 is a `hidden beast` number, since 1 + 2 + 2 + 6 + 2 + 502 + 145 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 122625021456.

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, 2621421 + ... + 2667788.

It is an arithmetic number, because the mean of its divisors is an integer number (3410482608).

Almost surely, 2122625021456 is an apocalyptic number.

122625021456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

122625021456 is an abundant number, since it is smaller than the sum of its proper divisors (286632891504).

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

122625021456 is a wasteful number, since it uses less digits than its factorization.

122625021456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5289253 (or 5289244 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 122625021456 its reverse (654120526221), we get a palindrome (776745547677).

The spelling of 122625021456 in words is "one hundred twenty-two billion, six hundred twenty-five million, twenty-one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 36 42 46 48 56 63 69 72 84 92 112 126 138 144 161 168 184 207 252 276 322 336 368 414 483 504 552 644 828 966 1008 1104 1288 1449 1656 1932 2576 2898 3312 3864 5796 7728 11592 23184 5289209 10578418 15867627 21156836 31735254 37024463 42313672 47602881 63470508 74048926 84627344 95205762 111073389 121651807 126941016 148097852 190411524 222146778 243303614 253882032 296195704 333220167 364955421 380823048 444293556 486607228 592391408 666440334 729910842 761646096 851562649 888587112 973214456 1094866263 1332880668 1459821684 1703125298 1777174224 1946428912 2189732526 2554687947 2665761336 2919643368 3406250596 4379465052 5109375894 5331522672 5839286736 6812501192 7664063841 8758930104 10218751788 13625002384 15328127682 17517860208 20437503576 30656255364 40875007152 61312510728 122625021456