Search a number
-
+
10122211201212 = 22331153971657339
BaseRepresentation
bin1001001101001100001011…
…0011011001000010111100
31022211200012022011112011000
42103103002303121002330
52311320242031414322
633310025111130300
72063206554410415
oct223230263310274
938750168145130
1010122211201212
113252895379360
121175904073990
1358569c496776
1426dcbbdca80c
1512847e0c93ac
hex934c2cd90bc

10122211201212 has 192 divisors, whose sum is σ = 29469361420800. Its totient is φ = 2978435266560.

The previous prime is 10122211201187. The next prime is 10122211201229. The reversal of 10122211201212 is 21210211222101.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5278839 + ... + 6936177.

It is an arithmetic number, because the mean of its divisors is an integer number (153486257400).

Almost surely, 210122211201212 is an apocalyptic number.

10122211201212 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 10122211201212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14734680710400).

10122211201212 is an abundant number, since it is smaller than the sum of its proper divisors (19347150219588).

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

10122211201212 is a wasteful number, since it uses less digits than its factorization.

10122211201212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1657513 (or 1657505 counting only the distinct ones).

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

Adding to 10122211201212 its reverse (21210211222101), we get a palindrome (31332422423313).

The spelling of 10122211201212 in words is "ten trillion, one hundred twenty-two billion, two hundred eleven million, two hundred one thousand, two hundred twelve".