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1221303120324 = 2237219929117673
BaseRepresentation
bin10001110001011011010…
…101101011000111000100
311022202101201021202020220
4101301123111223013010
5130002212044322244
62333020420224340
7154144013144400
oct21613325530704
94282351252226
101221303120324
11430a51854761
12178843b3b0b0
138b225c50951
144317b904100
1521b80061319
hex11c5b56b1c4

1221303120324 has 144 divisors (see below), whose sum is σ = 3493223294400. Its totient is φ = 330219638784.

The previous prime is 1221303120311. The next prime is 1221303120379. The reversal of 1221303120324 is 4230213031221.

It is a junction number, because it is equal to n+sod(n) for n = 1221303120294 and 1221303120303.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10319952 + ... + 10437624.

It is an arithmetic number, because the mean of its divisors is an integer number (24258495100).

Almost surely, 21221303120324 is an apocalyptic number.

1221303120324 is a gapful number since it is divisible by the number (14) 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 1221303120324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1746611647200).

1221303120324 is an abundant number, since it is smaller than the sum of its proper divisors (2271920174076).

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

1221303120324 is a wasteful number, since it uses less digits than its factorization.

1221303120324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118642 (or 118633 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1221303120324 its reverse (4230213031221), we get a palindrome (5451516151545).

The spelling of 1221303120324 in words is "one trillion, two hundred twenty-one billion, three hundred three million, one hundred twenty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 49 57 76 84 98 114 133 147 196 228 266 294 399 532 588 798 929 931 1596 1858 1862 2787 2793 3716 3724 5574 5586 6503 11148 11172 13006 17651 19509 26012 35302 39018 45521 52953 70604 78036 91042 105906 117673 123557 136563 182084 211812 235346 247114 273126 353019 370671 470692 494228 546252 706038 741342 823711 864899 1412076 1482684 1647422 1729798 2235787 2471133 2594697 3294844 3459596 4471574 4942266 5189394 5765977 6707361 8943148 9884532 10378788 11531954 13414722 15650509 17297931 23063908 26829444 31301018 34595862 46951527 62602036 69191724 93903054 109318217 109553563 187806108 218636434 219107126 327954651 328660689 437272868 438214252 655909302 657321378 765227519 1311818604 1314642756 1530455038 2077046123 2295682557 3060910076 4154092246 4591365114 5356592633 6231138369 8308184492 9182730228 10713185266 12462276738 14539322861 16069777899 21426370532 24924553476 29078645722 32139555798 43617968583 58157291444 64279111596 87235937166 101775260027 174471874332 203550520054 305325780081 407101040108 610651560162 1221303120324