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1221210100220 = 22511103267120177
BaseRepresentation
bin10001110001010101110…
…010110101000111111100
311022202011020020211122212
4101301111302311013330
5130002014241201340
62333003254355552
7154141503402635
oct21612562650774
94282136224585
101221210100220
11430a042a0340
1217881895bbb8
138b20c8b2176
144316d40c88c
1521b76cd9a65
hex11c55cb51fc

1221210100220 has 96 divisors (see below), whose sum is σ = 2826040928256. Its totient is φ = 439578547200.

The previous prime is 1221210100147. The next prime is 1221210100261. The reversal of 1221210100220 is 220010121221.

It is a junction number, because it is equal to n+sod(n) for n = 1221210100195 and 1221210100204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60514772 + ... + 60534948.

It is an arithmetic number, because the mean of its divisors is an integer number (29437926336).

Almost surely, 21221210100220 is an apocalyptic number.

1221210100220 is a gapful number since it is divisible by the number (10) 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 1221210100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413020464128).

1221210100220 is an abundant number, since it is smaller than the sum of its proper divisors (1604830828036).

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

1221210100220 is a wasteful number, since it uses less digits than its factorization.

1221210100220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22971 (or 22969 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1221210100220 its reverse (220010121221), we get a palindrome (1441220221441).

The spelling of 1221210100220 in words is "one trillion, two hundred twenty-one billion, two hundred ten million, one hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 103 110 206 220 412 515 1030 1133 2060 2266 2671 4532 5342 5665 10684 11330 13355 20177 22660 26710 29381 40354 53420 58762 80708 100885 117524 146905 201770 221947 275113 293810 403540 443894 550226 587620 887788 1100452 1109735 1375565 2078231 2219470 2751130 3026243 4156462 4438940 5502260 6052486 8312924 10391155 12104972 15131215 20782310 22860541 30262430 41564620 45721082 53892767 60524860 91442164 107785534 114302705 215571068 228605410 269463835 457210820 538927670 592820437 1077855340 1185640874 2371281748 2964102185 5550955001 5928204370 11101910002 11856408740 22203820004 27754775005 55509550010 61060505011 111019100020 122121010022 244242020044 305302525055 610605050110 1221210100220