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1221020210112 = 26364313217487
BaseRepresentation
bin10001110001001010011…
…110011101001111000000
311022201122222221102101220
4101301022132131033000
5130001122133210422
62332532352355040
7154134006353313
oct21611236351700
94281588842356
101221020210112
1143091709306a
12178785245a80
138b1ac457761
14431520dc97a
1521b652cae5c
hex11c4a79d3c0

1221020210112 has 112 divisors (see below), whose sum is σ = 3238522140672. Its totient is φ = 406011893760.

The previous prime is 1221020210089. The next prime is 1221020210159. The reversal of 1221020210112 is 2110120201221.

It is a junction number, because it is equal to n+sod(n) for n = 1221020210091 and 1221020210100.

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 15 ways as a sum of consecutive naturals, for example, 163081633 + ... + 163089119.

It is an arithmetic number, because the mean of its divisors is an integer number (28915376256).

Almost surely, 21221020210112 is an apocalyptic number.

1221020210112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1221020210112 is an abundant number, since it is smaller than the sum of its proper divisors (2017501930560).

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

1221020210112 is a wasteful number, since it uses less digits than its factorization.

1221020210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9466 (or 9456 counting only the distinct ones).

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

Adding to 1221020210112 its reverse (2110120201221), we get a palindrome (3331140411333).

The spelling of 1221020210112 in words is "one trillion, two hundred twenty-one billion, twenty million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 643 1286 1321 1929 2572 2642 3858 3963 5144 5284 7487 7716 7926 10288 10568 14974 15432 15852 20576 21136 22461 29948 30864 31704 41152 42272 44922 59896 61728 63408 84544 89844 119792 123456 126816 179688 239584 253632 359376 479168 718752 849403 1437504 1698806 2548209 3397612 4814141 5096418 6795224 9628282 9890327 10192836 13590448 14442423 19256564 19780654 20385672 27180896 28884846 29670981 38513128 39561308 40771344 54361792 57769692 59341962 77026256 79122616 81542688 115539384 118683924 154052512 158245232 163085376 231078768 237367848 308105024 316490464 462157536 474735696 632980928 924315072 949471392 1898942784 6359480261 12718960522 19078440783 25437921044 38156881566 50875842088 76313763132 101751684176 152627526264 203503368352 305255052528 407006736704 610510105056 1221020210112