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1022122201120 = 25517375780221
BaseRepresentation
bin11101101111110110011…
…10110001000000100000
310121201021110020200101021
432313323032301000200
5113221301240413440
62101320110015224
7133563066234136
oct16677316610040
93551243220337
101022122201120
11364530377039
121461167a7514
1375502535587
1437684517756
151b8c398284a
hexedfb3b1020

1022122201120 has 48 divisors (see below), whose sum is σ = 2556808630488. Its totient is φ = 384798945280.

The previous prime is 1022122201091. The next prime is 1022122201129. The reversal of 1022122201120 is 211022212201.

It is a happy number.

1022122201120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1017733933584 + 4388267536 = 1008828^2 + 66244^2 .

It is a super-3 number, since 3×10221222011203 (a number of 37 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1022122201094 and 1022122201103.

It is not an unprimeable number, because it can be changed into a prime (1022122201129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 187887391 + ... + 187892830.

Almost surely, 21022122201120 is an apocalyptic number.

1022122201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022122201120 is an abundant number, since it is smaller than the sum of its proper divisors (1534686429368).

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

1022122201120 is a wasteful number, since it uses less digits than its factorization.

1022122201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375780253 (or 375780245 counting only the distinct ones).

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

Adding to 1022122201120 its reverse (211022212201), we get a palindrome (1233144413321).

The spelling of 1022122201120 in words is "one trillion, twenty-two billion, one hundred twenty-two million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 375780221 751560442 1503120884 1878901105 3006241768 3757802210 6012483536 6388263757 7515604420 12024967072 12776527514 15031208840 25553055028 30062417680 31941318785 51106110056 60124835360 63882637570 102212220112 127765275140 204424440224 255530550280 511061100560 1022122201120