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1221220121004 = 2233131137697477
BaseRepresentation
bin10001110001010110011…
…001000011100110101100
311022202011221002221121000
4101301112121003212230
5130002024322333004
62333004253240300
7154141654520022
oct21612631034654
94282157087530
101221220121004
11430a09a15084
12178820193090
138b2119b0320
144317089a712
1521b77b18c39
hex11c566439ac

1221220121004 has 96 divisors (see below), whose sum is σ = 3439848968640. Its totient is φ = 372434678784.

The previous prime is 1221220121003. The next prime is 1221220121039. The reversal of 1221220121004 is 4001210221221.

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

It is not an unprimeable number, because it can be changed into a prime (1221220121003) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3690087 + ... + 4007390.

It is an arithmetic number, because the mean of its divisors is an integer number (35831760090).

Almost surely, 21221220121004 is an apocalyptic number.

It is an amenable number.

1221220121004 is an abundant number, since it is smaller than the sum of its proper divisors (2218628847636).

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

1221220121004 is a wasteful number, since it uses less digits than its factorization.

1221220121004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7697616 (or 7697608 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1221220121004 its reverse (4001210221221), we get a palindrome (5222430342225).

The spelling of 1221220121004 in words is "one trillion, two hundred twenty-one billion, two hundred twenty million, one hundred twenty-one thousand, four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 113 117 156 226 234 339 351 452 468 678 702 1017 1356 1404 1469 2034 2938 3051 4068 4407 5876 6102 8814 12204 13221 17628 26442 39663 52884 79326 158652 7697477 15394954 23092431 30789908 46184862 69277293 92369724 100067201 138554586 200134402 207831879 277109172 300201603 400268804 415663758 600403206 831327516 869814901 900604809 1200806412 1739629802 1801209618 2609444703 2701814427 3479259604 3602419236 5218889406 5403628854 7828334109 10437778812 10807257708 11307593713 15656668218 22615187426 23485002327 31313336436 33922781139 45230374852 46970004654 67845562278 93940009308 101768343417 135691124556 203536686834 305305030251 407073373668 610610060502 1221220121004