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1121212404 = 2232134171823
BaseRepresentation
bin100001011010100…
…0101011111110100
32220010202111021100
41002311011133310
54244012244104
6303131250100
736533101554
oct10265053764
92803674240
101121212404
11525993524
122735a9930
1314b399bc0
14a8ca1164
1568676139
hex42d457f4

1121212404 has 144 divisors (see below), whose sum is σ = 3174522624. Its totient is φ = 331430400.

The previous prime is 1121212397. The next prime is 1121212409. The reversal of 1121212404 is 4042121211.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121212409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1361937 + ... + 1362759.

It is an arithmetic number, because the mean of its divisors is an integer number (22045296).

Almost surely, 21121212404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121212404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587261312).

1121212404 is an abundant number, since it is smaller than the sum of its proper divisors (2053310220).

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

1121212404 is a wasteful number, since it uses less digits than its factorization.

1121212404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958 (or 953 counting only the distinct ones).

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

The square root of 1121212404 is about 33484.5099113008. The cubic root of 1121212404 is about 1038.8734114646.

Adding to 1121212404 its reverse (4042121211), we get a palindrome (5163333615).

The spelling of 1121212404 in words is "one billion, one hundred twenty-one million, two hundred twelve thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 41 52 71 78 82 117 123 142 156 164 213 234 246 284 369 426 468 492 533 639 738 823 852 923 1066 1278 1476 1599 1646 1846 2132 2469 2556 2769 2911 3198 3292 3692 4797 4938 5538 5822 6396 7407 8307 8733 9594 9876 10699 11076 11644 14814 16614 17466 19188 21398 26199 29628 32097 33228 33743 34932 37843 42796 52398 58433 64194 67486 75686 96291 101229 104796 113529 116866 128388 134972 151372 175299 192582 202458 227058 233732 303687 340587 350598 385164 404916 438659 454116 525897 607374 681174 701196 759629 877318 1051794 1214748 1315977 1362348 1519258 1754636 2103588 2278887 2395753 2631954 3038516 3947931 4557774 4791506 5263908 6836661 7187259 7895862 9115548 9583012 13673322 14374518 15791724 21561777 27346644 28749036 31144789 43123554 62289578 86247108 93434367 124579156 186868734 280303101 373737468 560606202 1121212404