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2022010122112 = 27193563145381
BaseRepresentation
bin11101011011001001001…
…100011110111110000000
321011022011100202220100221
4131123021030132332000
5231112034042401422
64144522034152424
7266041203312211
oct35331114367600
97138140686327
102022010122112
1170a591000352
12287a67122714
131188a051b676
146dc19b07408
15378e545a3c7
hex1d6c931ef80

2022010122112 has 64 divisors (see below), whose sum is σ = 4056314812560. Its totient is φ = 1003973345280.

The previous prime is 2022010122089. The next prime is 2022010122131. The reversal of 2022010122112 is 2112210102202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13835662 + ... + 13981042.

Almost surely, 22022010122112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2022010122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2028157406280).

2022010122112 is an abundant number, since it is smaller than the sum of its proper divisors (2034304690448).

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

2022010122112 is a wasteful number, since it uses less digits than its factorization.

2022010122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146151 (or 146139 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2022010122112 its reverse (2112210102202), we get a palindrome (4134220224314).

The spelling of 2022010122112 in words is "two trillion, twenty-two billion, ten million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 193 386 563 772 1126 1544 2252 3088 4504 6176 9008 12352 18016 24704 36032 72064 108659 145381 217318 290762 434636 581524 869272 1163048 1738544 2326096 3477088 4652192 6954176 9304384 13908352 18608768 28058533 56117066 81849503 112234132 163699006 224468264 327398012 448936528 654796024 897873056 1309592048 1795746112 2619184096 3591492224 5238368192 10476736384 15796954079 31593908158 63187816316 126375632632 252751265264 505502530528 1011005061056 2022010122112