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1121022211212 = 223333165348023
BaseRepresentation
bin10000010100000010001…
…000010111010010001100
310222011112222001202011000
4100110002020113102030
5121331323141224322
62214553540300300
7143663655401031
oct20240210272214
93864488052130
101121022211212
113a24718a4472
121613180a1690
1381934198ac7
143c38743d388
151e2613393ac
hex1050221748c

1121022211212 has 96 divisors (see below), whose sum is σ = 2919659420160. Its totient is φ = 371966886720.

The previous prime is 1121022211181. The next prime is 1121022211219. The reversal of 1121022211212 is 2121122201211.

1121022211212 is a `hidden beast` number, since 11 + 210 + 22 + 211 + 212 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1121022211219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23319433 + ... + 23367455.

It is an arithmetic number, because the mean of its divisors is an integer number (30413118960).

Almost surely, 21121022211212 is an apocalyptic number.

1121022211212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1121022211212 is an abundant number, since it is smaller than the sum of its proper divisors (1798637208948).

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

1121022211212 is a wasteful number, since it uses less digits than its factorization.

1121022211212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49020 (or 49012 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 1121022211212 its reverse (2121122201211), we get a palindrome (3242144412423).

The spelling of 1121022211212 in words is "one trillion, one hundred twenty-one billion, twenty-two million, two hundred eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 331 653 662 993 1306 1324 1959 1986 2612 2979 3918 3972 5877 5958 7836 8937 11754 11916 17631 17874 23508 35262 35748 48023 70524 96046 144069 192092 216143 288138 432207 432286 576276 648429 864414 864572 1296621 1296858 1728828 1945287 2593242 2593716 3890574 5186484 5835861 7781148 11671722 15895613 23343444 31359019 31791226 47686839 62718038 63582452 94077057 95373678 125436076 143060517 188154114 190747356 282231171 286121034 376308228 429181551 564462342 572242068 846693513 858363102 1128924684 1693387026 1716726204 3386774052 10379835289 20759670578 31139505867 41519341156 62279011734 93418517601 124558023468 186837035202 280255552803 373674070404 560511105606 1121022211212