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1221132531040 = 25537587351401
BaseRepresentation
bin10001110001010001001…
…010111011010101100000
311022201221211021220202021
4101301101022323111200
5130001334411443130
62332551444031224
7154136542152502
oct21612112732540
94281854256667
101221132531040
1143097452a484
121787b6992514
138b1c97c3346
1443162db9d72
1521b700b637a
hex11c512bb560

1221132531040 has 96 divisors (see below), whose sum is σ = 2967952536864. Its totient is φ = 474440601600.

The previous prime is 1221132530993. The next prime is 1221132531139. The reversal of 1221132531040 is 401352311221.

It is a junction number, because it is equal to n+sod(n) for n = 1221132530996 and 1221132531014.

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, 3299340 + ... + 3650740.

It is an arithmetic number, because the mean of its divisors is an integer number (30916172259).

Almost surely, 21221132531040 is an apocalyptic number.

1221132531040 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 1221132531040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1483976268432).

1221132531040 is an abundant number, since it is smaller than the sum of its proper divisors (1746820005824).

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

1221132531040 is a wasteful number, since it uses less digits than its factorization.

1221132531040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352040 (or 352032 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 1221132531040 its reverse (401352311221), we get a palindrome (1622484842261).

The spelling of 1221132531040 in words is "one trillion, two hundred twenty-one billion, one hundred thirty-two million, five hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 185 296 370 587 592 740 1174 1184 1480 2348 2935 2960 4696 5870 5920 9392 11740 18784 21719 23480 43438 46960 86876 93920 108595 173752 217190 347504 351401 434380 695008 702802 868760 1405604 1737520 1757005 2811208 3475040 3514010 5622416 7028020 11244832 13001837 14056040 26003674 28112080 52007348 56224160 65009185 104014696 130018370 206272387 208029392 260036740 412544774 416058784 520073480 825089548 1031361935 1040146960 1650179096 2062723870 2080293920 3300358192 4125447740 6600716384 7632078319 8250895480 15264156638 16501790960 30528313276 33003581920 38160391595 61056626552 76320783190 122113253104 152641566380 244226506208 305283132760 610566265520 1221132531040