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1122010202112 = 216311350503
BaseRepresentation
bin10000010100111101000…
…001010000000000000000
310222021002211010212212120
4100110331001100000000
5121340334102431422
62215235552324240
7144030313234002
oct20247501200000
93867084125776
101122010202112
113a2929565678
12161552b43680
1381a60a8cac7
143c43c742372
151e2bce4745c
hex1053d050000

1122010202112 has 136 divisors (see below), whose sum is σ = 3018542061504. Its totient is φ = 370686296064.

The previous prime is 1122010202017. The next prime is 1122010202113. The reversal of 1122010202112 is 2112020102211.

It is a super-2 number, since 2×11220102021122 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1122010202091 and 1122010202100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122010202113) 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, 22191453 + ... + 22241955.

Almost surely, 21122010202112 is an apocalyptic number.

1122010202112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1122010202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1509271030752).

1122010202112 is an abundant number, since it is smaller than the sum of its proper divisors (1896531859392).

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

1122010202112 is an frugal number, since it uses more digits than its factorization.

1122010202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50651 (or 50621 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1122010202112 its reverse (2112020102211), we get a palindrome (3234030304323).

Subtracting 1122010202112 from its reverse (2112020102211), we obtain a palindrome (990009900099).

The spelling of 1122010202112 in words is "one trillion, one hundred twenty-two billion, ten million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 128 192 226 256 339 384 452 512 678 768 904 1024 1356 1536 1808 2048 2712 3072 3616 4096 5424 6144 7232 8192 10848 12288 14464 16384 21696 24576 28928 32768 43392 49152 50503 57856 65536 86784 98304 101006 115712 151509 173568 196608 202012 231424 303018 347136 404024 462848 606036 694272 808048 925696 1212072 1388544 1616096 1851392 2424144 2777088 3232192 3702784 4848288 5554176 5706839 6464384 7405568 9696576 11108352 11413678 12928768 17120517 19393152 22216704 22827356 25857536 34241034 38786304 45654712 51715072 68482068 77572608 91309424 103430144 136964136 155145216 182618848 206860288 273928272 310290432 365237696 413720576 547856544 620580864 730475392 827441152 1095713088 1241161728 1460950784 1654882304 2191426176 2482323456 2921901568 3309764608 4382852352 4964646912 5843803136 8765704704 9929293824 11687606272 17531409408 23375212544 35062818816 46750425088 70125637632 93500850176 140251275264 187001700352 280502550528 374003400704 561005101056 1122010202112