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1122200122212 = 2232132397863509
BaseRepresentation
bin10000010101001000010…
…101101111001101100100
310222021121001111211021100
4100111020111233031210
5121341231212402322
62215310455120100
7144035110436631
oct20251025571544
93867531454240
101122200122212
113a2a16793434
121615a6673030
1381a91228070
143c459a5d188
151e2ce95edac
hex1054856f364

1122200122212 has 36 divisors (see below), whose sum is σ = 3054878111740. Its totient is φ = 345292345152.

The previous prime is 1122200122201. The next prime is 1122200122217. The reversal of 1122200122212 is 2122210022211.

It is a happy number.

1122200122212 is a `hidden beast` number, since 112 + 220 + 0 + 122 + 212 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 378697467456 + 743502654756 = 615384^2 + 862266^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×11222001222122 (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1122200122217) 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, 1198931287 + ... + 1198932222.

Almost surely, 21122200122212 is an apocalyptic number.

1122200122212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1122200122212 is an abundant number, since it is smaller than the sum of its proper divisors (1932677989528).

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

1122200122212 is a wasteful number, since it uses less digits than its factorization.

1122200122212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2397863532 (or 2397863527 counting only the distinct ones).

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

Adding to 1122200122212 its reverse (2122210022211), we get a palindrome (3244410144423).

The spelling of 1122200122212 in words is "one trillion, one hundred twenty-two billion, two hundred million, one hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 2397863509 4795727018 7193590527 9591454036 14387181054 21580771581 28774362108 31172225617 43161543162 62344451234 86323086324 93516676851 124688902468 187033353702 280550030553 374066707404 561100061106 1122200122212