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1221023315424 = 253112939871451
BaseRepresentation
bin10001110001001010101…
…010010011010111100000
311022201200012210012002110
4101301022222103113200
5130001123432043144
62332532543115320
7154134044635563
oct21611252232740
94281605705073
101221023315424
11430918914140
121787862a2b40
138b1acca4013
14431526aa4da
1521b656e10b9
hex11c4aa935e0

1221023315424 has 96 divisors (see below), whose sum is σ = 3617138125440. Its totient is φ = 357248192000.

The previous prime is 1221023315381. The next prime is 1221023315459. The reversal of 1221023315424 is 4245133201221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 1221023315391 and 1221023315400.

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, 19905102 + ... + 19966349.

It is an arithmetic number, because the mean of its divisors is an integer number (37678522140).

Almost surely, 21221023315424 is an apocalyptic number.

It is an amenable number.

1221023315424 is an abundant number, since it is smaller than the sum of its proper divisors (2396114810016).

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

1221023315424 is a wasteful number, since it uses less digits than its factorization.

1221023315424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39871504 (or 39871496 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 1221023315424 its reverse (4245133201221), we get a palindrome (5466156516645).

The spelling of 1221023315424 in words is "one trillion, two hundred twenty-one billion, twenty-three million, three hundred fifteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 32 33 44 48 58 66 87 88 96 116 132 174 176 232 264 319 348 352 464 528 638 696 928 957 1056 1276 1392 1914 2552 2784 3828 5104 7656 10208 15312 30624 39871451 79742902 119614353 159485804 239228706 318971608 438585961 478457412 637943216 877171922 956914824 1156272079 1275886432 1315757883 1754343844 1913829648 2312544158 2631515766 3468816237 3508687688 3827659296 4625088316 5263031532 6937632474 7017375376 9250176632 10526063064 12718992869 13875264948 14034750752 18500353264 21052126128 25437985738 27750529896 37000706528 38156978607 42104252256 50875971476 55501059792 76313957214 101751942952 111002119584 152627914428 203503885904 305255828856 407007771808 610511657712 1221023315424