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1221111414304 = 25316977176431
BaseRepresentation
bin10001110001001111111…
…010010111111000100000
311022201220100120002000221
4101301033322113320200
5130001314010224204
62332545411252424
7154136164522615
oct21611772277040
94281810502027
101221111414304
11430963617131
121787ab8aa114
138b1c530b832
144316028050c
1521b6d2e4654
hex11c4fe97e20

1221111414304 has 48 divisors (see below), whose sum is σ = 2481983271936. Its totient is φ = 590772326400.

The previous prime is 1221111414301. The next prime is 1221111414317. The reversal of 1221111414304 is 4034141111221.

It is a super-2 number, since 2×12211114143042 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1221111414301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6832969 + ... + 7009399.

It is an arithmetic number, because the mean of its divisors is an integer number (51707984832).

Almost surely, 21221111414304 is an apocalyptic number.

It is an amenable number.

1221111414304 is an abundant number, since it is smaller than the sum of its proper divisors (1260871857632).

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

1221111414304 is a wasteful number, since it uses less digits than its factorization.

1221111414304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183449 (or 183441 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

Adding to 1221111414304 its reverse (4034141111221), we get a palindrome (5255252525525).

The spelling of 1221111414304 in words is "one trillion, two hundred twenty-one billion, one hundred eleven million, four hundred fourteen thousand, three hundred four".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 992 6977 13954 27908 55816 111632 176431 216287 223264 352862 432574 705724 865148 1411448 1730296 2822896 3460592 5469361 5645792 6921184 10938722 21877444 43754888 87509776 175019552 1230959087 2461918174 4923836348 9847672696 19695345392 38159731697 39390690784 76319463394 152638926788 305277853576 610555707152 1221111414304