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10122102121212 = 22331789275322501
BaseRepresentation
bin1001001101001011110001…
…0011010010001011111100
31022211122220200220200112000
42103102330103102023330
52311320031120334322
633310010213142300
72063204061300054
oct223227423221374
938748820820460
1010122102121212
1132528398459a4
12117589362a990
135856829c40a3
1426dcab714564
1512847472e3ac
hex934bc4d22fc

10122102121212 has 192 divisors, whose sum is σ = 28109822428800. Its totient is φ = 3138600960000.

The previous prime is 10122102121211. The next prime is 10122102121213. The reversal of 10122102121212 is 21212120122101.

10122102121212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10122102121211) and next prime (10122102121213).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122102121211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 449839962 + ... + 449862462.

It is an arithmetic number, because the mean of its divisors is an integer number (146405325150).

Almost surely, 210122102121212 is an apocalyptic number.

10122102121212 is a gapful number since it is divisible by the number (12) 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 10122102121212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14054911214400).

10122102121212 is an abundant number, since it is smaller than the sum of its proper divisors (17987720307588).

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

10122102121212 is a wasteful number, since it uses less digits than its factorization.

10122102121212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25373 (or 25365 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10122102121212 its reverse (21212120122101), we get a palindrome (31334222243313).

The spelling of 10122102121212 in words is "ten trillion, one hundred twenty-two billion, one hundred two million, one hundred twenty-one thousand, two hundred twelve".