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122024322420 = 22357111337431277
BaseRepresentation
bin111000110100100110…
…1110110010101110100
3102122222002021211210220
41301221031312111310
53444401211304140
6132020204414340
711546606425020
oct1615115662564
9378862254726
10122024322420
1147828604560
121b7958473b0
13b6786c93a0
145c98133380
153292a6ebd0
hex1c69376574

122024322420 has 768 divisors, whose sum is σ = 482475958272. Its totient is φ = 22225674240.

The previous prime is 122024322401. The next prime is 122024322443. The reversal of 122024322420 is 24223420221.

It is a super-2 number, since 2×1220243224202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 95554822 + ... + 95556098.

It is an arithmetic number, because the mean of its divisors is an integer number (628223904).

Almost surely, 2122024322420 is an apocalyptic number.

122024322420 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 122024322420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241237979136).

122024322420 is an abundant number, since it is smaller than the sum of its proper divisors (360451635852).

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

122024322420 is a wasteful number, since it uses less digits than its factorization.

122024322420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 122024322420 its reverse (24223420221), we get a palindrome (146247742641).

It can be divided in two parts, 122024 and 322420, that added together give a palindrome (444444).

The spelling of 122024322420 in words is "one hundred twenty-two billion, twenty-four million, three hundred twenty-two thousand, four hundred twenty".