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1221022790001 = 327475172
BaseRepresentation
bin10001110001001010101…
…000010011000101110001
311022201200011210111100100
4101301022220103011301
5130001123313240001
62332532523543013
7154134040320000
oct21611250230561
94281604714310
101221022790001
11430918595403
1217878608aa69
138b1acb4bb11
14431525b0c37
1521b6563a586
hex11c4aa13171

1221022790001 has 45 divisors (see below), whose sum is σ = 2057800841291. Its totient is φ = 697634488656.

The previous prime is 1221022789981. The next prime is 1221022790027. The reversal of 1221022790001 is 1000972201221.

The square root of 1221022790001 is 1104999.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1143669830625 + 77352959376 = 1069425^2 + 278124^2 .

It is not a de Polignac number, because 1221022790001 - 227 = 1220888572273 is a prime.

It is a super-2 number, since 2×12210227900012 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1221022790401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 162431095 + ... + 162438611.

Almost surely, 21221022790001 is an apocalyptic number.

1221022790001 is the 1104999-th square number.

1221022790001 is the 552500-th centered octagonal number.

It is an amenable number.

1221022790001 is a deficient number, since it is larger than the sum of its proper divisors (836778051290).

1221022790001 is an frugal number, since it uses more digits than its factorization.

1221022790001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15068 (or 7527 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

Adding to 1221022790001 its reverse (1000972201221), we get a palindrome (2221994991222).

The spelling of 1221022790001 in words is "one trillion, two hundred twenty-one billion, twenty-two million, seven hundred ninety thousand, one".

Divisors: 1 3 7 9 21 49 63 147 343 441 1029 2401 3087 7203 7517 21609 22551 52619 67653 157857 368333 473571 1104999 2578331 3314997 7734993 18048317 23204979 54144951 56505289 162434853 169515867 395537023 508547601 1186611069 2768759161 3559833207 8306277483 19381314127 24918832449 58143942381 135669198889 174431827143 407007596667 1221022790001