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1121197392 = 243279711467
BaseRepresentation
bin100001011010100…
…0001110101010000
32220010201201200100
41002311001311100
54244011304032
6303131052400
736533010030
oct10265016520
92803651610
101121197392
11525983217
122735a1100
1314b393113
14a8c998c0
156867197c
hex42d41d50

1121197392 has 120 divisors (see below), whose sum is σ = 3623337536. Its totient is φ = 317011968.

The previous prime is 1121197369. The next prime is 1121197397. The reversal of 1121197392 is 2937911211.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121197397) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92043 + ... + 103509.

Almost surely, 21121197392 is an apocalyptic number.

1121197392 is a gapful number since it is divisible by the number (12) 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 1121197392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1811668768).

1121197392 is an abundant number, since it is smaller than the sum of its proper divisors (2502140144).

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

1121197392 is a wasteful number, since it uses less digits than its factorization.

1121197392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11585 (or 11576 counting only the distinct ones).

The product of its digits is 6804, while the sum is 36.

The square root of 1121197392 is about 33484.2857471979. The cubic root of 1121197392 is about 1038.8687749250.

The spelling of 1121197392 in words is "one billion, one hundred twenty-one million, one hundred ninety-seven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 97 112 126 144 168 194 252 291 336 388 504 582 679 776 873 1008 1164 1358 1552 1746 2037 2328 2716 3492 4074 4656 5432 6111 6984 8148 10864 11467 12222 13968 16296 22934 24444 32592 34401 45868 48888 68802 80269 91736 97776 103203 137604 160538 183472 206406 240807 275208 321076 412812 481614 550416 642152 722421 825624 963228 1112299 1284304 1444842 1651248 1926456 2224598 2889684 3336897 3852912 4449196 5779368 6673794 7786093 8898392 10010691 11558736 13347588 15572186 17796784 20021382 23358279 26695176 31144372 40042764 46716558 53390352 62288744 70074837 80085528 93433116 124577488 140149674 160171056 186866232 280299348 373732464 560598696 1121197392