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1122133001312 = 251931478712437
BaseRepresentation
bin10000010101000100010…
…101101100010001100000
310222021102101012201201002
4100111010111230101200
5121341112022020222
62215300100331132
7144033334064111
oct20250425542140
93867371181632
101122133001312
113a2991909514
121615880a3aa8
1381a80356b5b
143c450b8a208
151e2c8b02392
hex1054456c460

1122133001312 has 96 divisors (see below), whose sum is σ = 2401182766080. Its totient is φ = 514241533440.

The previous prime is 1122133001299. The next prime is 1122133001321. The reversal of 1122133001312 is 2131003312211.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90219158 + ... + 90231594.

It is an arithmetic number, because the mean of its divisors is an integer number (25012320480).

Almost surely, 21122133001312 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 1122133001312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1200591383040).

1122133001312 is an abundant number, since it is smaller than the sum of its proper divisors (1279049764768).

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

1122133001312 is a wasteful number, since it uses less digits than its factorization.

1122133001312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17284 (or 17276 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 1122133001312 its reverse (2131003312211), we get a palindrome (3253136313523).

The spelling of 1122133001312 in words is "one trillion, one hundred twenty-two billion, one hundred thirty-three million, one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 19 31 32 38 62 76 124 152 248 304 496 589 608 992 1178 2356 4712 4787 9424 9574 12437 18848 19148 24874 38296 49748 76592 90953 99496 148397 153184 181906 198992 236303 296794 363812 385547 397984 472606 593588 727624 771094 945212 1187176 1455248 1542188 1890424 2374352 2819543 2910496 3084376 3780848 4748704 5639086 6168752 7325393 7561696 11278172 12337504 14650786 22556344 29301572 45112688 58603144 59535919 90225376 117206288 119071838 234412576 238143676 476287352 952574704 1131182461 1845613489 1905149408 2262364922 3691226978 4524729844 7382453956 9049459688 14764907912 18098919376 29529815824 35066656291 36197838752 59059631648 70133312582 140266625164 280533250328 561066500656 1122133001312