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12122232202100 = 2252141061859361
BaseRepresentation
bin1011000001100110110101…
…0110000010001101110100
31120220212121012112022220202
42300121231112002031310
53042102312420431400
641440513202220032
72360542133413526
oct260315526021564
946825535468822
1012122232202100
113954012063449
121439453054618
1369c1771a19a7
142dca0d585a16
151604d8d544d5
hexb066d582374

12122232202100 has 36 divisors (see below), whose sum is σ = 26305460970348. Its totient is φ = 4848852864000.

The previous prime is 12122232202081. The next prime is 12122232202123. The reversal of 12122232202100 is 120223222121.

It can be written as a sum of positive squares in 6 ways, for example, as 1262557860496 + 10859674341604 = 1123636^2 + 3295402^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13676420 + ... + 14535780.

Almost surely, 212122232202100 is an apocalyptic number.

12122232202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12122232202100 is an abundant number, since it is smaller than the sum of its proper divisors (14183228768248).

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

12122232202100 is a wasteful number, since it uses less digits than its factorization.

12122232202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000436 (or 1000429 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 12122232202100 its reverse (120223222121), we get a palindrome (12242455424221).

The spelling of 12122232202100 in words is "twelve trillion, one hundred twenty-two billion, two hundred thirty-two million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 141061 282122 564244 705305 859361 1410610 1718722 2821220 3437444 3526525 4296805 7053050 8593610 14106100 17187220 21484025 42968050 85936100 121222322021 242444644042 484889288084 606111610105 1212223220210 2424446440420 3030558050525 6061116101050 12122232202100