Search a number
-
+
122036440512 = 2637372454079
BaseRepresentation
bin111000110100111110…
…0000100110111000000
3102122222221002111201010
41301221330010313000
53444412312044022
6132021320240520
711550114425520
oct1615174046700
9378887074633
10122036440512
1147834431008
121b799910140
13b67b08005c
145c999a9680
153293b6550c
hex1c69f04dc0

122036440512 has 112 divisors (see below), whose sum is σ = 378988482560. Its totient is φ = 33925174272.

The previous prime is 122036440483. The next prime is 122036440571. The reversal of 122036440512 is 215044630221.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 122036440512.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1177312 + ... + 1276767.

Almost surely, 2122036440512 is an apocalyptic number.

122036440512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122036440512 is an abundant number, since it is smaller than the sum of its proper divisors (256952042048).

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

122036440512 is a wasteful number, since it uses less digits than its factorization.

122036440512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2454138 (or 2454128 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 122036440512 in words is "one hundred twenty-two billion, thirty-six million, four hundred forty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 64 74 84 96 111 112 148 168 192 222 224 259 296 336 444 448 518 592 672 777 888 1036 1184 1344 1554 1776 2072 2368 3108 3552 4144 6216 7104 8288 12432 16576 24864 49728 2454079 4908158 7362237 9816316 14724474 17178553 19632632 29448948 34357106 39265264 51535659 58897896 68714212 78530528 90800923 103071318 117795792 137428424 157061056 181601846 206142636 235591584 272402769 274856848 363203692 412285272 471183168 544805538 549713696 635606461 726407384 824570544 1089611076 1099427392 1271212922 1452814768 1649141088 1906819383 2179222152 2542425844 2905629536 3298282176 3813638766 4358444304 5084851688 5811259072 7627277532 8716888608 10169703376 15254555064 17433777216 20339406752 30509110128 40678813504 61018220256 122036440512