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12212112120144 = 2432361487179903
BaseRepresentation
bin1011000110110101101010…
…0110101101100101010000
31121020110121002110020120020
42301231122212231211100
53100040401200321034
641550100012543440
72400203344205106
oct261553246554520
947213532406506
1012212112120144
113989144a17152
121452957781b80
136a779c16b951
143030d8545c76
151629e98b1249
hexb1b5a9ad950

12212112120144 has 80 divisors (see below), whose sum is σ = 32920324964352. Its totient is φ = 3893631938944.

The previous prime is 12212112120139. The next prime is 12212112120179. The reversal of 12212112120144 is 44102121121221.

12212112120144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 67791697 + ... + 67971599.

Almost surely, 212212112120144 is an apocalyptic number.

It is an amenable number.

12212112120144 is an abundant number, since it is smaller than the sum of its proper divisors (20708212844208).

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

12212112120144 is a wasteful number, since it uses less digits than its factorization.

12212112120144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241424 (or 241418 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

Adding to 12212112120144 its reverse (44102121121221), we get a palindrome (56314233241365).

The spelling of 12212112120144 in words is "twelve trillion, two hundred twelve billion, one hundred twelve million, one hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1104 61487 122974 179903 184461 245948 359806 368922 491896 539709 719612 737844 983792 1079418 1414201 1439224 1475688 2158836 2828402 2878448 2951376 4137769 4242603 4317672 5656804 8275538 8485206 8635344 11313608 12413307 16551076 16970412 22627216 24826614 33102152 33940824 49653228 66204304 67881648 99306456 198612912 11061695761 22123391522 33185087283 44246783044 66370174566 88493566088 132740349132 176987132176 254419002503 265480698264 508838005006 530961396528 763257007509 1017676010012 1526514015018 2035352020024 3053028030036 4070704040048 6106056060072 12212112120144