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1121812480 = 215541167
BaseRepresentation
bin100001011011101…
…1000000000000000
32220011212222102101
41002313120000000
54244140444410
6303152200144
736541151215
oct10267300000
92804788371
101121812480
11526263358
12273839054
1314b54a089
14a8db9b0c
1568743d3a
hex42dd8000

1121812480 has 128 divisors (see below), whose sum is σ = 2774489760. Its totient is φ = 435159040.

The previous prime is 1121812451. The next prime is 1121812487. The reversal of 1121812480 is 842181211.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121812487) 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, 6717357 + ... + 6717523.

Almost surely, 21121812480 is an apocalyptic number.

1121812480 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 1121812480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387244880).

1121812480 is an abundant number, since it is smaller than the sum of its proper divisors (1652677280).

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

1121812480 is an frugal number, since it uses more digits than its factorization.

1121812480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 28.

The square root of 1121812480 is about 33493.4692141617. The cubic root of 1121812480 is about 1039.0587143910.

Adding to 1121812480 its reverse (842181211), we get a palindrome (1963993691).

The spelling of 1121812480 in words is "one billion, one hundred twenty-one million, eight hundred twelve thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 128 160 164 167 205 256 320 328 334 410 512 640 656 668 820 835 1024 1280 1312 1336 1640 1670 2048 2560 2624 2672 3280 3340 4096 5120 5248 5344 6560 6680 6847 8192 10240 10496 10688 13120 13360 13694 16384 20480 20992 21376 26240 26720 27388 32768 34235 40960 41984 42752 52480 53440 54776 68470 81920 83968 85504 104960 106880 109552 136940 163840 167936 171008 209920 213760 219104 273880 335872 342016 419840 427520 438208 547760 671744 684032 839680 855040 876416 1095520 1343488 1368064 1679360 1710080 1752832 2191040 2736128 3358720 3420160 3505664 4382080 5472256 6717440 6840320 7011328 8764160 13680640 14022656 17528320 27361280 28045312 35056640 56090624 70113280 112181248 140226560 224362496 280453120 560906240 1121812480