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1201211210112 = 27315719924549
BaseRepresentation
bin10001011110101101110…
…001000111100110000000
311020211112110210221220020
4101132231301013212000
5124140040032210422
62315455005013440
7152533063550604
oct21365561074600
94224473727806
101201211210112
1142348145a191
12174977254280
1389373505794
14421d3335504
15213a61dc95c
hex117adc47980

1201211210112 has 64 divisors (see below), whose sum is σ = 3211040478000. Its totient is φ = 397853374464.

The previous prime is 1201211210107. The next prime is 1201211210149. The reversal of 1201211210112 is 2110121121021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×12012112101122 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1201211210091 and 1201211210100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9901987 + ... + 10022562.

Almost surely, 21201211210112 is an apocalyptic number.

1201211210112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1201211210112 is an abundant number, since it is smaller than the sum of its proper divisors (2009829267888).

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

1201211210112 is a wasteful number, since it uses less digits than its factorization.

1201211210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19924723 (or 19924711 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 1201211210112 its reverse (2110121121021), we get a palindrome (3311332331133).

The spelling of 1201211210112 in words is "one trillion, two hundred one billion, two hundred eleven million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 157 192 314 384 471 628 942 1256 1884 2512 3768 5024 7536 10048 15072 20096 30144 60288 19924549 39849098 59773647 79698196 119547294 159396392 239094588 318792784 478189176 637585568 956378352 1275171136 1912756704 2550342272 3128154193 3825513408 6256308386 7651026816 9384462579 12512616772 18768925158 25025233544 37537850316 50050467088 75075700632 100100934176 150151401264 200201868352 300302802528 400403736704 600605605056 1201211210112