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1221222021120 = 21132513251107
BaseRepresentation
bin10001110001010110100…
…000010011100000000000
311022202012001200111001200
4101301112200103200000
5130002030314133440
62333004402101200
7154142006622513
oct21612640234000
94282161614050
101221222021120
11430a0aaa2722
1217882094a800
138b2121c715a
1443170c32d7a
1521b77d91c30
hex11c56813800

1221222021120 has 144 divisors (see below), whose sum is σ = 4232536406280. Its totient is φ = 325659181056.

The previous prime is 1221222020983. The next prime is 1221222021121. The reversal of 1221222021120 is 211202221221.

It is a happy number.

1221222021120 is a `hidden beast` number, since 1 + 2 + 212 + 220 + 211 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1221222021093 and 1221222021102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221222021121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6533394 + ... + 6717713.

Almost surely, 21221222021120 is an apocalyptic number.

1221222021120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1221222021120 is an abundant number, since it is smaller than the sum of its proper divisors (3011314385160).

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

1221222021120 is a wasteful number, since it uses less digits than its factorization.

1221222021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13251140 (or 13251117 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1221222021120 its reverse (211202221221), we get a palindrome (1432424242341).

The spelling of 1221222021120 in words is "one trillion, two hundred twenty-one billion, two hundred twenty-two million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2048 2304 2560 2880 3072 3840 4608 5120 5760 6144 7680 9216 10240 11520 15360 18432 23040 30720 46080 92160 13251107 26502214 39753321 53004428 66255535 79506642 106008856 119259963 132511070 159013284 198766605 212017712 238519926 265022140 318026568 397533210 424035424 477039852 530044280 596299815 636053136 795066420 848070848 954079704 1060088560 1192599630 1272106272 1590132840 1696141696 1908159408 2120177120 2385199260 2544212544 3180265680 3392283392 3816318816 4240354240 4770398520 5088425088 6360531360 6784566784 7632637632 8480708480 9540797040 10176850176 12721062720 13569133568 15265275264 16961416960 19081594080 20353700352 25442125440 27138267136 30530550528 33922833920 38163188160 40707400704 50884250880 61061101056 67845667840 76326376320 81414801408 101768501760 122122202112 135691335680 152652752640 203537003520 244244404224 305305505280 407074007040 610611010560 1221222021120