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1222142504440 = 23511131153185309
BaseRepresentation
bin10001110010001101010…
…111101010110111111000
311022211120012201212210111
4101302031113222313320
5130010421440120230
62333240003154104
7154203554612404
oct21621527526770
94284505655714
101222142504440
11431342645440
12178a39075934
138b32ab12c40
144321b1a2104
1521bcdab792a
hex11c8d5eadf8

1222142504440 has 128 divisors (see below), whose sum is σ = 3233377828800. Its totient is φ = 409871646720.

The previous prime is 1222142504419. The next prime is 1222142504441. The reversal of 1222142504440 is 444052412221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1222142504441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6502506 + ... + 6687814.

Almost surely, 21222142504440 is an apocalyptic number.

1222142504440 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 1222142504440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1616688914400).

1222142504440 is an abundant number, since it is smaller than the sum of its proper divisors (2011235324360).

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

1222142504440 is a wasteful number, since it uses less digits than its factorization.

1222142504440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186497 (or 186493 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 31.

Adding to 1222142504440 its reverse (444052412221), we get a palindrome (1666194916661).

The spelling of 1222142504440 in words is "one trillion, two hundred twenty-two billion, one hundred forty-two million, five hundred four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 260 286 440 520 572 715 1144 1153 1430 2306 2860 4612 5720 5765 9224 11530 12683 14989 23060 25366 29978 46120 50732 59956 63415 74945 101464 119912 126830 149890 164879 185309 253660 299780 329758 370618 507320 599560 659516 741236 824395 926545 1319032 1482472 1648790 1853090 2038399 2409017 3297580 3706180 4076798 4818034 6595160 7412360 8153596 9636068 10191995 12045085 16307192 19272136 20383990 24090170 26499187 40767980 48180340 52998374 81535960 96360680 105996748 132495935 211993496 213661277 264991870 427322554 529983740 854645108 1059967480 1068306385 1709290216 2136612770 2350274047 2777596601 4273225540 4700548094 5555193202 8546451080 9401096188 11110386404 11751370235 13887983005 18802192376 22220772808 23502740470 27775966010 30553562611 47005480940 55551932020 61107125222 94010961880 111103864040 122214250444 152767813055 244428500888 305535626110 611071252220 1222142504440