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1221211220 = 225237973331
BaseRepresentation
bin100100011001010…
…0011010001010100
310011002220221212012
41020302203101110
510000112224340
6321102443352
742156060365
oct11062432124
93132827765
101221211220
11577384079
122a0b93558
1316600ccb8
14b8291b6c
157232a565
hex48ca3454

1221211220 has 48 divisors (see below), whose sum is σ = 2680207488. Its totient is φ = 466519680.

The previous prime is 1221211181. The next prime is 1221211231. The reversal of 1221211220 is 221121221.

It is a junction number, because it is equal to n+sod(n) for n = 1221211195 and 1221211204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 364955 + ... + 368285.

It is an arithmetic number, because the mean of its divisors is an integer number (55837656).

Almost surely, 21221211220 is an apocalyptic number.

1221211220 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 1221211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340103744).

1221211220 is an abundant number, since it is smaller than the sum of its proper divisors (1458996268).

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

1221211220 is a wasteful number, since it uses less digits than its factorization.

1221211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4160 (or 4158 counting only the distinct ones).

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

The square root of 1221211220 is about 34945.8326556973. The cubic root of 1221211220 is about 1068.8832264637.

Adding to 1221211220 its reverse (221121221), we get a palindrome (1442332441).

It can be divided in two parts, 12212 and 11220, that added together give a palindrome (23432).

The spelling of 1221211220 in words is "one billion, two hundred twenty-one million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 797 1594 3188 3331 3985 6662 7970 13324 15940 16655 18331 33310 36662 66620 73324 76613 91655 153226 183310 306452 366620 383065 766130 1532260 2654807 5309614 10619228 13274035 26548070 53096140 61060561 122121122 244242244 305302805 610605610 1221211220