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122020221202000 = 245311101139395069
BaseRepresentation
bin11011101111101000001011…
…111100001010111001010000
3121000001000112000101101020221
4123233220023330022321100
5111443134403111431000
61111303152112242424
734462445555110012
oct3357501374127120
9530030460341227
10122020221202000
1135974537898390
1211828405240414
1353115c4137514
14221bb4b3461b2
15e1905c9e561a
hex6efa0bf0ae50

122020221202000 has 320 divisors, whose sum is σ = 327393307987200. Its totient is φ = 43615507200000.

The previous prime is 122020221201997. The next prime is 122020221202003. The reversal of 122020221202000 is 202122020221.

It is an interprime number because it is at equal distance from previous prime (122020221201997) and next prime (122020221202003).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122020221202003) 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, 308660466 + ... + 309055534.

It is an arithmetic number, because the mean of its divisors is an integer number (1023104087460).

Almost surely, 2122020221202000 is an apocalyptic number.

122020221202000 is a gapful number since it is divisible by the number (10) 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 122020221202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163696653993600).

122020221202000 is an abundant number, since it is smaller than the sum of its proper divisors (205373086785200).

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

122020221202000 is a wasteful number, since it uses less digits than its factorization.

122020221202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395343 (or 395327 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 122020221202000 its reverse (202122020221), we get a palindrome (122222343222221).

It can be divided in two parts, 122020221 and 202000, that added together give a palindrome (122222221).

The spelling of 122020221202000 in words is "one hundred twenty-two trillion, twenty billion, two hundred twenty-one million, two hundred two thousand".