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1012120221222 = 23211151117128909
BaseRepresentation
bin11101011101001110001…
…00001111011000100110
310120202110101202110100100
432232213010033120212
5113040310234034342
62052543412524530
7133060165634655
oct16564704173046
93522411673310
101012120221222
1136026852a550
121441a5020746
137459a303b86
1436db5ddb19c
151b4da832e4c
hexeba710f626

1012120221222 has 96 divisors (see below), whose sum is σ = 2410266942720. Its totient is φ = 304401240000.

The previous prime is 1012120221197. The next prime is 1012120221227. The reversal of 1012120221222 is 2221220212101.

It is a happy number.

1012120221222 is a `hidden beast` number, since 10 + 1 + 212 + 0 + 221 + 222 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1012120221195 and 1012120221204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012120221227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34996104 + ... + 35025012.

It is an arithmetic number, because the mean of its divisors is an integer number (25106947320).

Almost surely, 21012120221222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012120221222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205133471360).

1012120221222 is an abundant number, since it is smaller than the sum of its proper divisors (1398146721498).

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

1012120221222 is a wasteful number, since it uses less digits than its factorization.

1012120221222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30250 (or 30247 counting only the distinct ones).

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

Adding to 1012120221222 its reverse (2221220212101), we get a palindrome (3233340433323).

The spelling of 1012120221222 in words is "one trillion, twelve billion, one hundred twenty million, two hundred twenty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 151 198 302 453 906 1171 1359 1661 2342 2718 3322 3513 4983 7026 9966 10539 12881 14949 21078 25762 28909 29898 38643 57818 77286 86727 115929 173454 176821 231858 260181 317999 353642 520362 530463 635998 953997 1060926 1591389 1907994 1945031 2861991 3182778 3890062 4365259 5723982 5835093 8730518 11670186 13095777 17505279 26191554 33852439 35010558 39287331 48017849 67704878 78574662 96035698 101557317 144053547 203114634 288107094 304671951 372376829 432160641 609343902 744753658 864321282 1117130487 2234260974 3351391461 5111718289 6702782922 10223436578 15335154867 30670309734 46005464601 56228901179 92010929202 112457802358 168686703537 337373407074 506060110611 1012120221222