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1221827030928 = 243271301931691
BaseRepresentation
bin10001110001111010100…
…100001110111110010000
311022210202020010011111100
4101301322210032332100
5130004300204442203
62333144413344400
7154163004255510
oct21617244167620
94283666104440
101221827030928
114311a0562529
1217896b498100
138b2aa65811a
14431cb321840
1521bb104dea3
hex11c7a90ef90

1221827030928 has 120 divisors (see below), whose sum is σ = 3910915060416. Its totient is φ = 348824736000.

The previous prime is 1221827030923. The next prime is 1221827030939. The reversal of 1221827030928 is 8290307281221.

It is a super-2 number, since 2×12218270309282 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1221827030923) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 845563 + ... + 1777253.

Almost surely, 21221827030928 is an apocalyptic number.

1221827030928 is a gapful number since it is divisible by the number (18) 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 1221827030928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1955457530208).

1221827030928 is an abundant number, since it is smaller than the sum of its proper divisors (2689088029488).

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

1221827030928 is a wasteful number, since it uses less digits than its factorization.

1221827030928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933013 (or 933004 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 1221827030928 in words is "one trillion, two hundred twenty-one billion, eight hundred twenty-seven million, thirty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 1301 2602 3903 5204 7806 9107 10408 11709 15612 18214 20816 23418 27321 31224 36428 46836 54642 62448 72856 81963 93672 109284 145712 163926 187344 218568 327852 437136 655704 931691 1311408 1863382 2795073 3726764 5590146 6521837 7453528 8385219 11180292 13043674 14907056 16770438 19565511 22360584 26087348 33540876 39131022 44721168 52174696 58696533 67081752 78262044 104349392 117393066 134163504 156524088 234786132 313048176 469572264 939144528 1212129991 2424259982 3636389973 4848519964 7272779946 8484909937 9697039928 10909169919 14545559892 16969819874 19394079856 21818339838 25454729811 29091119784 33939639748 43636679676 50909459622 58182239568 67879279496 76364189433 87273359352 101818919244 135758558992 152728378866 174546718704 203637838488 305456757732 407275676976 610913515464 1221827030928