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1221222101121 = 3211371285325939
BaseRepresentation
bin10001110001010110100…
…000100111000010000001
311022202012001211112210200
4101301112200213002001
5130002030324213441
62333004403515413
7154142010404661
oct21612640470201
94282161745720
101221222101121
11430a10047840
12178820988b69
138b2122246a9
1443170c541a1
1521b77daa7b6
hex11c56827081

1221222101121 has 48 divisors (see below), whose sum is σ = 1976589401280. Its totient is φ = 720047180160.

The previous prime is 1221222101107. The next prime is 1221222101123. The reversal of 1221222101121 is 1211012221221.

1221222101121 is a `hidden beast` number, since 1 + 221 + 222 + 101 + 121 = 666.

It is not a de Polignac number, because 1221222101121 - 222 = 1221217906817 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1221222101094 and 1221222101103.

It is not an unprimeable number, because it can be changed into a prime (1221222101123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47067570 + ... + 47093508.

It is an arithmetic number, because the mean of its divisors is an integer number (41178945860).

Almost surely, 21221222101121 is an apocalyptic number.

1221222101121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1221222101121 is a deficient number, since it is larger than the sum of its proper divisors (755367300159).

1221222101121 is a wasteful number, since it uses less digits than its factorization.

1221222101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38846 (or 38843 counting only the distinct ones).

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

Adding to 1221222101121 its reverse (1211012221221), we get a palindrome (2432234322342).

The spelling of 1221222101121 in words is "one trillion, two hundred twenty-one billion, two hundred twenty-two million, one hundred one thousand, one hundred twenty-one".

Divisors: 1 3 9 11 33 37 99 111 333 407 1221 3663 12853 25939 38559 77817 115677 141383 233451 285329 424149 475561 855987 959743 1272447 1426683 2567961 2879229 4280049 5231171 8637687 10557173 15693513 31671519 47080539 95014557 333393967 1000181901 3000545703 3667333637 11002000911 12335576779 33006002733 37006730337 111020191011 135691344569 407074033707 1221222101121