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1022122220112 = 243271676071917
BaseRepresentation
bin11101101111110110011…
…10110101101001010000
310121201021110021122102200
432313323032311221100
5113221301242020422
62101320110243200
7133563066343410
oct16677316655120
93551243248380
101022122220112
1136453038a334
121461167b6500
1375502541106
1437684520640
151b8c39882ac
hexedfb3b5a50

1022122220112 has 120 divisors (see below), whose sum is σ = 3288745090176. Its totient is φ = 290286160128.

The previous prime is 1022122220111. The next prime is 1022122220219. The reversal of 1022122220112 is 2110222212201.

It is a happy number.

1022122220112 is a `hidden beast` number, since 10 + 221 + 222 + 201 + 12 = 666.

It is a super-3 number, since 3×10221222201123 (a number of 37 digits) contains 333 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 (1022122220111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2867623 + ... + 3204294.

Almost surely, 21022122220112 is an apocalyptic number.

1022122220112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1022122220112 is an abundant number, since it is smaller than the sum of its proper divisors (2266622870064).

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

1022122220112 is a wasteful number, since it uses less digits than its factorization.

1022122220112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6072105 (or 6072096 counting only the distinct ones).

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

Adding to 1022122220112 its reverse (2110222212201), we get a palindrome (3132344432313).

The spelling of 1022122220112 in words is "one trillion, twenty-two billion, one hundred twenty-two million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 167 168 252 334 336 501 504 668 1002 1008 1169 1336 1503 2004 2338 2672 3006 3507 4008 4676 6012 7014 8016 9352 10521 12024 14028 18704 21042 24048 28056 42084 56112 84168 168336 6071917 12143834 18215751 24287668 36431502 42503419 48575336 54647253 72863004 85006838 97150672 109294506 127510257 145726008 170013676 218589012 255020514 291452016 340027352 382530771 437178024 510041028 680054704 765061542 874356048 1014010139 1020082056 1530123084 2028020278 2040164112 3042030417 3060246168 4056040556 6084060834 6120492336 7098070973 8112081112 9126091251 12168121668 14196141946 16224162224 18252182502 21294212919 24336243336 28392283892 36504365004 42588425838 48672486672 56784567784 63882638757 73008730008 85176851676 113569135568 127765277514 146017460016 170353703352 255530555028 340707406704 511061110056 1022122220112