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1221001121032 = 2371147271155621
BaseRepresentation
bin10001110001001001010…
…101101000110100001000
311022201121200000121002221
4101301021111220310020
5130001102241333112
62332530431303424
7154133355200110
oct21611125506410
94281550017087
101221001121032
11430907335170
1217877a97ab74
138b1a8502b44
144314d770040
1521b637a9e07
hex11c49568d08

1221001121032 has 128 divisors (see below), whose sum is σ = 2925793198080. Its totient is φ = 463872096000.

The previous prime is 1221001120987. The next prime is 1221001121059. The reversal of 1221001121032 is 2301211001221.

It is a super-2 number, since 2×12210011210322 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1221001120997 and 1221001121015.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7768182 + ... + 7923802.

It is an arithmetic number, because the mean of its divisors is an integer number (22857759360).

Almost surely, 21221001121032 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 1221001121032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462896599040).

1221001121032 is an abundant number, since it is smaller than the sum of its proper divisors (1704792077048).

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

1221001121032 is a wasteful number, since it uses less digits than its factorization.

1221001121032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155963 (or 155959 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 1221001121032 its reverse (2301211001221), we get a palindrome (3522212122253).

The spelling of 1221001121032 in words is "one trillion, two hundred twenty-one billion, one million, one hundred twenty-one thousand, thirty-two".

Divisors: 1 2 4 7 8 11 14 22 28 44 47 56 77 88 94 154 188 271 308 329 376 517 542 616 658 1034 1084 1316 1897 2068 2168 2632 2981 3619 3794 4136 5962 7238 7588 11924 12737 14476 15176 20867 23848 25474 28952 41734 50948 83468 89159 101896 140107 155621 166936 178318 280214 311242 356636 560428 622484 713272 980749 1089347 1120856 1244968 1711831 1961498 2178694 3423662 3922996 4357388 6847324 7314187 7845992 8714776 11982817 13694648 14628374 23965634 29256748 42173291 47931268 51199309 58513496 80456057 84346582 95862536 102398618 160912114 168693164 204797236 295213037 321824228 337386328 409594472 463906201 563192399 590426074 643648456 927812402 1126384798 1180852148 1855624804 1982144677 2252769596 2361704296 3247343407 3711249608 3964289354 4505539192 6494686814 7928578708 12989373628 13875012739 15857157416 21803591447 25978747256 27750025478 43607182894 55500050956 87214365788 111000101912 152625140129 174428731576 305250280258 610500560516 1221001121032