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122030021344 = 25711417316547
BaseRepresentation
bin111000110100110001…
…1100101101011100000
3102122222111000101021011
41301221203211223200
53444404141140334
6132020530510304
711550006031660
oct1615143455340
9378874011234
10122030021344
1147830847210
121b797735394
13b67994332a
145c98bb81a0
1532932e8564
hex1c698e5ae0

122030021344 has 192 divisors, whose sum is σ = 311055800832. Its totient is φ = 45746380800.

The previous prime is 122030021341. The next prime is 122030021413. The reversal of 122030021344 is 443120030221.

It is a super-2 number, since 2×1220300213442 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122030021341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7366479 + ... + 7383025.

It is an arithmetic number, because the mean of its divisors is an integer number (1620082296).

Almost surely, 2122030021344 is an apocalyptic number.

122030021344 is a gapful number since it is divisible by the number (14) 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 122030021344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155527900416).

122030021344 is an abundant number, since it is smaller than the sum of its proper divisors (189025779488).

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

122030021344 is a wasteful number, since it uses less digits than its factorization.

122030021344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16689 (or 16681 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 122030021344 its reverse (443120030221), we get a palindrome (565150051565).

The spelling of 122030021344 in words is "one hundred twenty-two billion, thirty million, twenty-one thousand, three hundred forty-four".