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1122121120212 = 2232229136113673
BaseRepresentation
bin10000010101000011101…
…000010111100111010100
310222021101112212002220100
4100111003220113213110
5121341101001321322
62215254553534100
7144033131101251
oct20250350274724
93867345762810
101122121120212
113a2986134024
12161584114330
1381a7aa57011
143c44d376428
151e2c7a56dac
hex10543a179d4

1122121120212 has 36 divisors (see below), whose sum is σ = 2848859196820. Its totient is φ = 372407006592.

The previous prime is 1122121120157. The next prime is 1122121120229. The reversal of 1122121120212 is 2120211212211.

1122121120212 is a `hidden beast` number, since 1 + 1 + 221 + 211 + 20 + 212 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1085005556496 + 37115563716 = 1041636^2 + 192654^2 .

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

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

It is a congruent number.

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, 68048593 + ... + 68065080.

Almost surely, 21122121120212 is an apocalyptic number.

1122121120212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1122121120212 is an abundant number, since it is smaller than the sum of its proper divisors (1726738076608).

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

1122121120212 is a wasteful number, since it uses less digits than its factorization.

1122121120212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136113912 (or 136113907 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 1122121120212 its reverse (2120211212211), we get a palindrome (3242332332423).

The spelling of 1122121120212 in words is "one trillion, one hundred twenty-two billion, one hundred twenty-one million, one hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 229 458 687 916 1374 2061 2748 4122 8244 136113673 272227346 408341019 544454692 816682038 1225023057 1633364076 2450046114 4900092228 31170031117 62340062234 93510093351 124680124468 187020186702 280530280053 374040373404 561060560106 1122121120212