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121221100012144 = 241119327191107929
BaseRepresentation
bin11011100011111111111100…
…100110110000001001110000
3120220012121211212212211011011
4123203333330212300021300
5111342041303100342034
61105452112104000304
734350635602060456
oct3343777446601160
9526177755784134
10121221100012144
1135696641802770
1211719565160094
135284140275662
1421d11bd9c29d6
15e0338b946864
hex6e3ffc9b0270

121221100012144 has 80 divisors (see below), whose sum is σ = 269710933824000. Its totient is φ = 52198831157760.

The previous prime is 121221100012057. The next prime is 121221100012213. The reversal of 121221100012144 is 441210001122121.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 108858372 + ... + 109966300.

It is an arithmetic number, because the mean of its divisors is an integer number (3371386672800).

Almost surely, 2121221100012144 is an apocalyptic number.

It is an amenable number.

121221100012144 is an abundant number, since it is smaller than the sum of its proper divisors (148489833811856).

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

121221100012144 is a wasteful number, since it uses less digits than its factorization.

121221100012144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140686 (or 1140680 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 121221100012144 its reverse (441210001122121), we get a palindrome (562431101134265).

The spelling of 121221100012144 in words is "one hundred twenty-one trillion, two hundred twenty-one billion, one hundred million, twelve thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 152 176 209 304 418 836 1672 3344 32719 65438 130876 261752 359909 523504 621661 719818 1107929 1243322 1439636 2215858 2486644 2879272 4431716 4973288 5758544 6838271 8863432 9946576 12187219 13676542 17726864 21050651 24374438 27353084 42101302 48748876 54706168 84202604 97497752 109412336 168405208 194995504 231557161 336810416 463114322 926228644 1852457288 3704914576 36250328951 72500657902 145001315804 290002631608 398753618461 580005263216 688756250069 797507236922 1377512500138 1595014473844 2755025000276 3190028947688 5510050000552 6380057895376 7576318750759 11020100001104 15152637501518 30305275003036 60610550006072 121221100012144