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1022212022112 = 253232363109673
BaseRepresentation
bin11101110000000001001…
…01011001111101100000
310121201111201021001121200
432320000211121331200
5113221442234201422
62101333035121200
7133565236553001
oct16700045317540
93551451231550
101022212022112
11364577045966
121461408a3200
1375518023ba8
14376924191a8
151b8cb7c62ac
hexee00959f60

1022212022112 has 72 divisors (see below), whose sum is σ = 2907031766184. Its totient is φ = 340723705344.

The previous prime is 1022212022081. The next prime is 1022212022119. The reversal of 1022212022112 is 2112202122201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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 (1022212022119) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9265708 + ... + 9375380.

It is an arithmetic number, because the mean of its divisors is an integer number (40375441197).

Almost surely, 21022212022112 is an apocalyptic number.

1022212022112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1022212022112 is an abundant number, since it is smaller than the sum of its proper divisors (1884819744072).

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

1022212022112 is a wasteful number, since it uses less digits than its factorization.

1022212022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142052 (or 142041 counting only the distinct ones).

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

Adding to 1022212022112 its reverse (2112202122201), we get a palindrome (3134414144313).

The spelling of 1022212022112 in words is "one trillion, twenty-two billion, two hundred twelve million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 32363 64726 97089 109673 129452 194178 219346 258904 291267 329019 388356 438692 517808 582534 658038 776712 877384 987057 1035616 1165068 1316076 1553424 1754768 1974114 2330136 2632152 3106848 3509536 3948228 4660272 5264304 7896456 9320544 10528608 15792912 31585824 3549347299 7098694598 10648041897 14197389196 21296083794 28394778392 31944125691 42592167588 56789556784 63888251382 85184335176 113579113568 127776502764 170368670352 255553005528 340737340704 511106011056 1022212022112