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1221204140 = 225132615923
BaseRepresentation
bin100100011001010…
…0001100010101100
310011002220121010222
41020302201202230
510000112013030
6321102350512
742156030632
oct11062414254
93132817128
101221204140
11577379822
122a0b8b438
13166009a00
14b828d352
15723283e5
hex48ca18ac

1221204140 has 72 divisors (see below), whose sum is σ = 2822975568. Its totient is φ = 443439360.

The previous prime is 1221204137. The next prime is 1221204167. The reversal of 1221204140 is 414021221.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 203219 + ... + 209141.

It is an arithmetic number, because the mean of its divisors is an integer number (39207994).

Almost surely, 21221204140 is an apocalyptic number.

1221204140 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 1221204140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1411487784).

1221204140 is an abundant number, since it is smaller than the sum of its proper divisors (1601771428).

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

1221204140 is a wasteful number, since it uses less digits than its factorization.

1221204140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6019 (or 6004 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 1221204140 is about 34945.7313559181. The cubic root of 1221204140 is about 1068.8811608347.

Adding to 1221204140 its reverse (414021221), we get a palindrome (1635225361).

The spelling of 1221204140 in words is "one billion, two hundred twenty-one million, two hundred four thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 61 65 122 130 169 244 260 305 338 610 676 793 845 1220 1586 1690 3172 3380 3965 5923 7930 10309 11846 15860 20618 23692 29615 41236 51545 59230 76999 103090 118460 153998 206180 307996 361303 384995 722606 769990 1000987 1445212 1539980 1806515 2001974 3613030 4003948 4696939 5004935 7226060 9393878 10009870 18787756 20019740 23484695 46969390 61060207 93938780 122120414 244240828 305301035 610602070 1221204140