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12212302113032 = 2372137319171263
BaseRepresentation
bin1011000110110110010111…
…1011011110100100001000
31121020111002022221212210212
42301231211323132210020
53100041243320104112
641550130521100252
72400211142133200
oct261554573364410
947214068855725
1012212302113032
11398923219466a
1214529ab327688
136a77cc631088
14303115881400
15162a0b3e0522
hexb1b65ede908

12212302113032 has 96 divisors (see below), whose sum is σ = 26839738437120. Its totient is φ = 5193939421440.

The previous prime is 12212302112999. The next prime is 12212302113049. The reversal of 12212302113032 is 23031120321221.

It is a junction number, because it is equal to n+sod(n) for n = 12212302112989 and 12212302113007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171333833 + ... + 171405095.

It is an arithmetic number, because the mean of its divisors is an integer number (279580608720).

Almost surely, 212212302113032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12212302113032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13419869218560).

12212302113032 is an abundant number, since it is smaller than the sum of its proper divisors (14627436324088).

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

12212302113032 is a wasteful number, since it uses less digits than its factorization.

12212302113032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74611 (or 74600 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 12212302113032 its reverse (23031120321221), we get a palindrome (35243422434253).

The spelling of 12212302113032 in words is "twelve trillion, two hundred twelve billion, three hundred two million, one hundred thirteen thousand, thirty-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 137 196 274 392 548 959 1096 1918 3191 3836 6382 6713 7672 12764 13426 22337 25528 26852 44674 53704 71263 89348 142526 156359 178696 285052 312718 437167 498841 570104 625436 874334 997682 1250872 1748668 1995364 3060169 3491887 3497336 3990728 6120338 6983774 9763031 12240676 13967548 19526062 21421183 24481352 27935096 39052124 42842366 68341217 78104248 85684732 136682434 171369464 227400233 273364868 454800466 478388519 546729736 909600932 956777038 1591801631 1819201864 1913554076 3183603262 3827108152 6367206524 11142611417 12734413048 22285222834 31153831921 44570445668 62307663842 89140891336 124615327684 218076823447 249230655368 436153646894 872307293788 1526537764129 1744614587576 3053075528258 6106151056516 12212302113032