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121014433400 = 235273110212731
BaseRepresentation
bin111000010110100000…
…1011011011001111000
3102120100201000011111212
41300231001123121320
53440314143332100
6131332051142252
711512564466120
oct1605501333170
9376321004455
10121014433400
114735a546a33
121b5535a4988
13b547409013
145bddd6dc80
153234088635
hex1c2d05b678

121014433400 has 192 divisors, whose sum is σ = 332372060160. Its totient is φ = 40098240000.

The previous prime is 121014433367. The next prime is 121014433403. The reversal of 121014433400 is 4334410121.

It is a super-2 number, since 2×1210144334002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121014433403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44310035 + ... + 44312765.

It is an arithmetic number, because the mean of its divisors is an integer number (1731104480).

Almost surely, 2121014433400 is an apocalyptic number.

121014433400 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 121014433400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166186030080).

121014433400 is an abundant number, since it is smaller than the sum of its proper divisors (211357626760).

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

121014433400 is a wasteful number, since it uses less digits than its factorization.

121014433400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3806 (or 3797 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 121014433400 its reverse (4334410121), we get a palindrome (125348843521).

The spelling of 121014433400 in words is "one hundred twenty-one billion, fourteen million, four hundred thirty-three thousand, four hundred".