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1221444131340 = 2235234012207243
BaseRepresentation
bin10001110001100011101…
…111100101101000001100
311022202202112121212000010
4101301203233211220030
5130003004144200330
62333042414433220
7154150344545256
oct21614357455014
94282675555003
101221444131340
11431014407394
12178883202810
138b249223214
144319252ccd6
1521b8c6173b0
hex11c63be5a0c

1221444131340 has 96 divisors (see below), whose sum is σ = 3577642338816. Its totient is φ = 310779673600.

The previous prime is 1221444131333. The next prime is 1221444131377. The reversal of 1221444131340 is 431314441221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1221444131298 and 1221444131307.

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, 550242 + ... + 1657001.

It is an arithmetic number, because the mean of its divisors is an integer number (37267107696).

Almost surely, 21221444131340 is an apocalyptic number.

1221444131340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1221444131340 is an abundant number, since it is smaller than the sum of its proper divisors (2356198207476).

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

1221444131340 is a wasteful number, since it uses less digits than its factorization.

1221444131340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2207679 (or 2207677 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 1221444131340 its reverse (431314441221), we get a palindrome (1652758572561).

The spelling of 1221444131340 in words is "one trillion, two hundred twenty-one billion, four hundred forty-four million, one hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 401 460 690 802 1203 1380 1604 2005 2406 4010 4812 6015 8020 9223 12030 18446 24060 27669 36892 46115 55338 92230 110676 138345 184460 276690 553380 2207243 4414486 6621729 8828972 11036215 13243458 22072430 26486916 33108645 44144860 50766589 66217290 101533178 132434580 152299767 203066356 253832945 304599534 507665890 609199068 761498835 885104443 1015331780 1522997670 1770208886 2655313329 3045995340 3540417772 4425522215 5310626658 8851044430 10621253316 13276566645 17702088860 20357402189 26553133290 40714804378 53106266580 61072206567 81429608756 101787010945 122144413134 203574021890 244288826268 305361032835 407148043780 610722065670 1221444131340