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12202391052 = 223219157199571
BaseRepresentation
bin10110101110101000…
…11011011000001100
31011111101221200200100
423113110123120030
5144442303003202
65334455331100
7611246420055
oct132724333014
934441850610
1012202391052
1151a1a28005
122446680a90
1311c6078247
1483a86372c
154b63ed41c
hex2d751b60c

12202391052 has 144 divisors (see below), whose sum is σ = 32896864000. Its totient is φ = 3802930560.

The previous prime is 12202391051. The next prime is 12202391059. The reversal of 12202391052 is 25019320221.

It is a happy number.

12202391052 is a `hidden beast` number, since 1 + 220 + 2 + 391 + 0 + 52 = 666.

12202391052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12202391051) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 21369927 + ... + 21370497.

Almost surely, 212202391052 is an apocalyptic number.

12202391052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12202391052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16448432000).

12202391052 is an abundant number, since it is smaller than the sum of its proper divisors (20694472948).

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

12202391052 is a wasteful number, since it uses less digits than its factorization.

12202391052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 12202391052 in words is "twelve billion, two hundred two million, three hundred ninety-one thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 157 171 199 228 314 342 398 471 571 597 628 684 796 942 1142 1194 1413 1713 1791 1884 2284 2388 2826 2983 3426 3582 3781 5139 5652 5966 6852 7164 7562 8949 10278 10849 11343 11932 15124 17898 20556 21698 22686 26847 31243 32547 34029 35796 43396 45372 53694 62486 65094 68058 89647 93729 97641 107388 113629 124972 130188 136116 179294 187458 195282 227258 268941 281187 340887 358588 374916 390564 454516 537882 562374 593617 681774 806823 1022661 1075764 1124748 1187234 1363548 1613646 1703293 1780851 2045322 2158951 2374468 3227292 3406586 3561702 4090644 4317902 5109879 5342553 6476853 6813172 7123404 8635804 10219758 10685106 12953706 15329637 17839753 19430559 20439516 21370212 25907412 30659274 35679506 38861118 53519259 61318548 71359012 77722236 107038518 160557777 214077036 321115554 338955307 642231108 677910614 1016865921 1355821228 2033731842 3050597763 4067463684 6101195526 12202391052