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1022121012200 = 235245611120501
BaseRepresentation
bin11101101111110110010…
…10001110101111101000
310121201021101000021111012
432313323022032233220
5113221300434342300
62101320024323052
7133563053152661
oct16677312165750
93551241007435
101022121012200
1136452a734862
12146116313488
137550220a382
14376842c8368
151b8c37ea435
hexedfb28ebe8

1022121012200 has 48 divisors (see below), whose sum is σ = 2376954507660. Its totient is φ = 408758400000.

The previous prime is 1022121012151. The next prime is 1022121012217. The reversal of 1022121012200 is 22101212201.

It can be written as a sum of positive squares in 6 ways, for example, as 340264555684 + 681856456516 = 583322^2 + 825746^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 351950 + ... + 1472450.

Almost surely, 21022121012200 is an apocalyptic number.

1022121012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022121012200 is an abundant number, since it is smaller than the sum of its proper divisors (1354833495460).

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

1022121012200 is a wasteful number, since it uses less digits than its factorization.

1022121012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125078 (or 1125069 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1022121012200 its reverse (22101212201), we get a palindrome (1044222224401).

The spelling of 1022121012200 in words is "one trillion, twenty-two billion, one hundred twenty-one million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 4561 9122 18244 22805 36488 45610 91220 114025 182440 228050 456100 912200 1120501 2241002 4482004 5602505 8964008 11205010 22410020 28012525 44820040 56025050 112050100 224100200 5110605061 10221210122 20442420244 25553025305 40884840488 51106050610 102212101220 127765126525 204424202440 255530253050 511060506100 1022121012200