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1210122121012 = 227193174119901
BaseRepresentation
bin10001100111000000111…
…001100010111100110100
311021200112111021010122021
4101213000321202330310
5124311312230333022
62323531124442524
7153266645211640
oct21470071427464
94250474233567
101210122121012
11427234431462
12176643549444
138a16369261c
14427da999c20
152172866c7c7
hex119c0e62f34

1210122121012 has 96 divisors (see below), whose sum is σ = 2630427484160. Its totient is φ = 475366320000.

The previous prime is 1210122120967. The next prime is 1210122121057. The reversal of 1210122121012 is 2101212210121.

It is an interprime number because it is at equal distance from previous prime (1210122120967) and next prime (1210122121057).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122217262 + ... + 122227162.

Almost surely, 21210122121012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1210122121012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1315213742080).

1210122121012 is an abundant number, since it is smaller than the sum of its proper divisors (1420305363148).

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

1210122121012 is a wasteful number, since it uses less digits than its factorization.

1210122121012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17373 (or 17371 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 1210122121012 its reverse (2101212210121), we get a palindrome (3311334331133).

The spelling of 1210122121012 in words is "one trillion, two hundred ten billion, one hundred twenty-two million, one hundred twenty-one thousand, twelve".

Divisors: 1 2 4 7 14 19 28 31 38 62 76 124 133 217 266 434 532 589 868 1178 2356 4123 7411 8246 9901 14822 16492 19802 29644 39604 51877 69307 103754 138614 140809 188119 207508 229741 277228 281618 306931 376238 459482 563236 613862 752476 918964 985663 1227724 1316833 1608187 1971326 2148517 2633666 3216374 3942652 4297034 4365079 5267332 5831689 6432748 8594068 8730158 11663378 17460316 23326756 30555553 40821823 61111106 73376311 81643646 122222212 146752622 163287292 293505244 513634177 1027268354 1394149909 2054536708 2274665641 2788299818 4549331282 5576599636 9098662564 9759049363 15922659487 19518098726 31845318974 39036197452 43218647179 63690637948 86437294358 172874588716 302530530253 605061060506 1210122121012