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1122221202012 = 2232299971078159
BaseRepresentation
bin10000010101001001100…
…110001001101001011100
310222021122112011210022200
4100111021212021221130
5121341302111431022
62215312531011500
7144035454554031
oct20251146115134
93867575153280
101122221202012
113a2a27680a59
121615b1739b90
1381a956c8b11
143c45c789388
151e2d1725bac
hex10549989a5c

1122221202012 has 72 divisors (see below), whose sum is σ = 2937490046400. Its totient is φ = 360812043648.

The previous prime is 1122221201971. The next prime is 1122221202013. The reversal of 1122221202012 is 2102021222211.

It is a happy number.

It is a super-2 number, since 2×11222212020122 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122221202013) 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 23 ways as a sum of consecutive naturals, for example, 501789 + ... + 1579947.

Almost surely, 21122221202012 is an apocalyptic number.

1122221202012 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 1122221202012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468745023200).

1122221202012 is an abundant number, since it is smaller than the sum of its proper divisors (1815268844388).

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

1122221202012 is a wasteful number, since it uses less digits than its factorization.

1122221202012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079195 (or 1079190 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1122221202012 its reverse (2102021222211), we get a palindrome (3224242424223).

The spelling of 1122221202012 in words is "one trillion, one hundred twenty-two billion, two hundred twenty-one million, two hundred two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 997 1044 1994 2991 3988 5982 8973 11964 17946 28913 35892 57826 86739 115652 173478 260217 346956 520434 1040868 1078159 2156318 3234477 4312636 6468954 9703431 12937908 19406862 31266611 38813724 62533222 93799833 125066444 187599666 281399499 375199332 562798998 1074924523 1125597996 2149849046 3224773569 4299698092 6449547138 9674320707 12899094276 19348641414 31172811167 38697282828 62345622334 93518433501 124691244668 187036867002 280555300503 374073734004 561110601006 1122221202012