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122102121210 = 23537257428023
BaseRepresentation
bin111000110110111011…
…0101000001011111010
3102200011111200102200120
41301231312220023322
54000031120334320
6132032024114110
711551542622446
oct1615566501372
9380144612616
10122102121210
1147868511983
121b7b7905936
13b68b868884
145ca45c5826
1532997db440
hex1c6dda82fa

122102121210 has 64 divisors (see below), whose sum is σ = 302137005312. Its totient is φ = 31557206016.

The previous prime is 122102121203. The next prime is 122102121233. The reversal of 122102121210 is 12121201221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122102121210.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71259 + ... + 499281.

It is an arithmetic number, because the mean of its divisors is an integer number (4720890708).

Almost surely, 2122102121210 is an apocalyptic number.

122102121210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122102121210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151068502656).

122102121210 is an abundant number, since it is smaller than the sum of its proper divisors (180034884102).

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

122102121210 is a wasteful number, since it uses less digits than its factorization.

122102121210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428327.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 122102121210 its reverse (12121201221), we get a palindrome (134223322431).

The spelling of 122102121210 in words is "one hundred twenty-two billion, one hundred two million, one hundred twenty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 257 370 514 555 771 1110 1285 1542 2570 3855 7710 9509 19018 28527 47545 57054 95090 142635 285270 428023 856046 1284069 2140115 2568138 4280230 6420345 12840690 15836851 31673702 47510553 79184255 95021106 110001911 158368510 220003822 237552765 330005733 475105530 550009555 660011466 1100019110 1650028665 3300057330 4070070707 8140141414 12210212121 20350353535 24420424242 40700707070 61051060605 122102121210