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1221121005 = 351373109787
BaseRepresentation
bin100100011001000…
…1101001111101101
310011002202101002220
41020302031033231
510000101333010
6321100505553
742155233356
oct11062151755
93132671086
101221121005
11577322315
122a0b4b2b9
13165caac10
14b826ad2d
157230d970
hex48c8d3ed

1221121005 has 64 divisors (see below), whose sum is σ = 2155211520. Its totient is φ = 586745856.

The previous prime is 1221121003. The next prime is 1221121021. The reversal of 1221121005 is 5001211221.

It is not a de Polignac number, because 1221121005 - 21 = 1221121003 is a prime.

It is a super-2 number, since 2×12211210052 = 2982273017704420050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221121001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1551222 + ... + 1552008.

It is an arithmetic number, because the mean of its divisors is an integer number (33675180).

Almost surely, 21221121005 is an apocalyptic number.

1221121005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1221121005 is a deficient number, since it is larger than the sum of its proper divisors (934090515).

1221121005 is a wasteful number, since it uses less digits than its factorization.

1221121005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990.

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 1221121005 is about 34944.5418484776. The cubic root of 1221121005 is about 1068.8569051435.

Adding to 1221121005 its reverse (5001211221), we get a palindrome (6222332226).

The spelling of 1221121005 in words is "one billion, two hundred twenty-one million, one hundred twenty-one thousand, five".

Divisors: 1 3 5 13 15 39 65 73 109 195 219 327 365 545 787 949 1095 1417 1635 2361 2847 3935 4251 4745 7085 7957 10231 11805 14235 21255 23871 30693 39785 51155 57451 85783 103441 119355 153465 172353 257349 287255 310323 428915 517205 746863 861765 1115179 1286745 1551615 2240589 3345537 3734315 5575895 6262159 11202945 16727685 18786477 31310795 81408067 93932385 244224201 407040335 1221121005